#RIGHT ANGLE ACUTE ANGLE OBTUSE ANGLE 90 DEGREE ANGLE

[tokensonsaturn]

I NEED THIS MAN EVERY WAY POSSIBLE UPSIDE DOWN, RIGHT SIDE UP, SIDE TO SIDE , DIAGONALLY, HORIZONTAL, THE LIST GOES ON

#RIGHT ANGLE ACUTE ANGLE OBTUSE ANGLE 90 DEGREE ANGLE #I NEED TO DEVOUR AND CONSUME EVERY INCH OF HIM #jeff satur #ultimate babygirl

[sesamie]

#polls #feel free to rb

[shuxiii]

STOP WITH THE ANGLES PLEASE I CANT TAKE THIS ANYMORE I HATE ANGLES

-👾

Degree

The unit of measurement for angles and also for temperature. Represented by the symbol ° for angles (e.g. 90°) or °C (degrees Centigrade) and °F (degrees Fahrenheit) for temperature.

Geometry Key Terms

acute

adjacent (side)

alternate angles

angle

angle rules

angles at a point

angles on a straight line

arc

area

axis

base

bearings

capacity

centilitre

centimetre

centre

centre of rotation

century

chord

circle

circle theorems

cm2

cm3

cointerior angle

concave

congruent/congruence

convex

coordinates

corresponding angles

cos (cosine)

cosine rule

cross-section

day

decade

degree

density

diameter

edge

elevation

equilateral triangle

face

gram

hour

hypotenuse

imperial

intersecting/intersection

isosceles triangle

kilogram

kilometre

length

line of symmetry

litre

mass

mensuration

metre

metric

miles per hour (mph)

millennium

millilitre

millimetre

​​minute

mirror line

month

net

obtuse

opposite (side)

order of rotation

parallel

perimeter

perpendicular

pi

plan

plane

polygon

pressure

prisms

protractor

Pythagoras' theorem

quadrant

quadrilateral

radius

reflect/reflection

reflectional symmetry

reflex

right angle

right-angled triangle

rotate/rotation

rotational symmetry

scalene triangle

second

section

sector

segment

similarity

sin (sine)

sine rule

speed

surface area

tan (tangent)

tangent

temperature

time

transformation

translate/translation

trigonometry

vectors

vertex/vertices

vertically opposite angles

volume

week

x-axis

x-coordinate

y-axis

y-coordinate

[mathsciencetuition]

Practical Applications of Angles in Everyday Life

Angles are all around us, and though you might not notice them at first glance, they play a pivotal role in our daily lives. Whether you're navigating the streets, building a house, or simply enjoying a sunset, angles are there, silently shaping the world we live in. In this delightful journey, we're going to explore the intriguing world of angles, shedding light on their various types and revealing how a solid foundation in maths tuition can help us uncover their hidden presence in the real world.

What is an Angle?

Before we embark on our journey to explore angles in real life, let's grasp the fundamental concept of what an angle is. An angle is the geometric figure formed when two rays, or line segments, meet at a common endpoint called the vertex. Angles are typically measured in degrees and can range from 0° (a flat line) to 360° (a full circle).

Types of Angles:

Angles come in various flavours, each with its unique characteristics and applications. Let's take a look at some of the most common types:

Acute Angle:

An acute angle is one that measures less than 90 degrees. Think of it as a slim slice of pizza or the hands on a clock when it's still morning.

Acute Angle in Real Life:

·         The roof of a house is often designed with acute angles to ensure efficient rainwater runoff.

·         Scissors have blades that form acute angles to enable precise cutting.

·         The slice of pizza you're about to devour, forming an acute angle at its tip.

·         The corners of a folded book page, ensuring you pick up where you left off.

Obtuse Angle:

In contrast, an obtuse angle measures more than 90 degrees but less than 180 degrees. It's like the obtuse cousin of the acute angle, a bit more open.

Obtuse Angle in Real Life:

·         The angle formed between the seat and supporting chains on a swing is an obtuse angle, helping distribute weight and maintain balance.

·         Bridge supports often create obtuse angles to provide stability and evenly distribute the load.

·         The bend in your elbow when you're savouring your morning cereal.

·         The wide V-shape of a pair of open scissors, facilitating cutting with precision.

Right Angle:

A right angle is a perfectly square angle that measures precisely 90 degrees. It's as sharp as it gets!

Right Angle in Real Life:

·         The corners of picture frames, where art meets geometry in perfect harmony.

·         The edges of a book, reminding you where to open it and continue your reading journey.

·         The corners of a room where walls meet the floor and ceiling, defining the structure of your living space.

Straight Angle:

Imagine a line that extends infinitely in both directions – the angle it forms with itself is a straight angle, measuring a flat 180 degrees.

Straight Angle in Real Life:

·         The intersection of two roads on your way to work, ensuring smooth traffic flow.

·         The fold in a ruler, providing a straight edge for drawing and measuring.

·         The separation between opposite sides of a river or bridge, allowing for passage.

Reflex Angle:

Now, step beyond 180 degrees, and you have a reflex angle – an angle that's wider than a straight angle but smaller than a full circle.

Reflex Angle in Real Life:

·         When using a compass to draw a wide circle, the opening of the compass creates a reflex angle.

·         Bay windows in architecture often feature panes that form convex shapes, showcasing reflex angles.

·         The minute hand on a clock as it sweeps past the 12 o'clock mark, measuring time with precision.

Complete Angle:

A complete angle, as the name suggests, covers an entire circle, measuring a full 360 degrees. It's like a dance move that goes all the way around.

Complete Angle in Real Life:

·         Ferris wheels, such as those found in amusement parks, create complete angles in the space inside the wheel as passengers rotate.

·         Some car wheels have circular rims with spokes that form complete angles, contributing to the wheel's design and function.

·         The compass needle pointing north, guiding adventurers and explorers.

·         The hands of a clock completing their daily journey, marking the passage of time with elegance.

Uses of Angles in Daily Life:

Now that we've unveiled the diverse world of angles, it's time to understand their practical significance in our daily routines.

·         Navigation: Angles are critical in navigation, whether you're using a compass to find your way through the wilderness or reading a map to plan your road trip.

·         Architecture: Architects and builders rely heavily on angles to ensure the structural integrity and aesthetics of buildings. Right angles are particularly crucial for maintaining square corners and walls.

·         Sports: From the launch angle of a golf ball to the trajectory of a basketball shot, angles play a pivotal role in determining the outcome of various sports.

·         Art and Design: Artists and designers use angles to create visually appealing compositions. Whether it's the angle of brush strokes or the positioning of elements in a graphic design, angles add depth and interest.

·         Engineering: Engineers use angles to calculate stress, strain, and load distribution in structures, machinery, and bridges. Understanding angles is vital for ensuring the safety and efficiency of these systems.

·         Photography: Photographers often manipulate angles to capture the perfect shot. The angle at which light falls on a subject can dramatically change the mood and impact of a photograph.

Before we wrap up our exploration of angles in the real world, let's consider how crucial they are in an educational setting. Many students grapple with geometry, struggling to grasp the significance of angles and their applications. This is where dedicated institutions like Miracle Learning Centre, a renowned Maths tuition centre, come into play.

With expert guidance and innovative teaching methods, Maths tuition becomes more than just numbers and formulas; it becomes a doorway to understanding the world around us. These centres transform angles from abstract concepts into tangible tools that students can use to unravel the mysteries of science, architecture, and technology.

Conclusion:

In conclusion, while angles might appear as abstract mathematical concepts, they hold a vital place in our everyday experiences. From the acute angles of pizza slices to the complete angles of compass needles, these geometric elements intricately shape our world. If you're keen on exploring angles further and improving your understanding, think about enrolling in math tuition.

Miracle Learning Centre, for instance, provides valuable resources and expertise to help you excel in angles and mathematics. For more information on angles and the educational opportunities they offer, check out their website today. It's your gateway to unraveling the mysteries of angles and expanding your mathematical knowledge.

#maths tuition #angles #maths #tuition centre #best tuition centre #singapore #types of angles

[mathsai]

Know Geometry: Concepts, Examples, and Methods

Geometry is a fundamental branch of mathematics that explores the properties and relationships of shapes, sizes, and space. From basic shapes to complex spatial configurations, geometry plays a crucial role in various fields such as architecture, engineering, art, and science. In this comprehensive guide, we will delve into the core concepts of geometry, provide illustrative examples, and outline essential methods. Whether you're a student seeking to deepen your understanding or an AI-based math enthusiast, this guide will serve as an invaluable resource.

Basic Concepts of Geometric

Geometry begins with fundamental concepts that lay the groundwork for more advanced topics. These include:

Point:

A point is a location in space, represented by a dot. It has no size, shape, or dimensions.

Line:

A line is a straight path that extends infinitely in both directions.

Plane:

A plane is a flat, two-dimensional surface that extends infinitely. At least three non-collinear points determine it.

Angle:

An angle is formed when two rays share a common endpoint (vertex). Angles are measured in degrees or radians.

Types of Angles:

Angles can be classified into various types based on their measurements and relationships:

Acute Angle:

An angle measuring less than 90 degrees.

Right Angle:

An angle measuring exactly 90 degrees.

Obtuse Angle:

An angle measuring more than 90 degrees but less than 180 degrees.

Straight Angle:

An angle measuring exactly 180 degrees.

Reflex Angle:

An angle measuring more than 180 degrees but less than 360 degrees.

Types of Polygons:

Polygons are closed shapes with straight sides. They can be categorized based on the number of sides they possess:

Triangle: A polygon with three sides.

Quadrilateral: A polygon with four sides.

Pentagon: A polygon with five sides.

Hexagon: A polygon with six sides.

Heptagon (Septagon): A polygon with seven sides.

Octagon: A polygon with eight sides.

Nonagon: A polygon with nine sides.

Decagon: A polygon with ten sides.

Congruence and Similarity:

Congruent shapes have the same size and shape, while similar shapes have the same shape but possibly different sizes. Methods to determine congruence and similarity include:

Side-Side-Side (SSS) Criterion:

Two triangles are congruent if their corresponding sides are proportional.

Side-Angle-Side (SAS) Criterion:

If two sides and the included angle of one triangle are congruent to the corresponding sides and angle of another triangle, the triangles are congruent.

Angle-Angle (AA) Criterion:

If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.

Side-Side-Angle (SSA) Criterion:

SSA is a similarity criterion that requires additional conditions to establish similarity.

The Pythagoras Theorem:

The Pythagoras theorem is a fundamental concept in geometry that relates the sides of a right triangle:

In a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Example: Consider a right triangle with legs of lengths 3 units and 4 units. The hypotenuse can be calculated using the Pythagorean theorem: (c^2 = a^2 + b^2), where (c) is the hypotenuse, (a) is the first leg, and (b) is the second leg. Substituting the values, we get (c^2 = 3^2 + 4^2), which simplifies to (c^2 = 9 + 16), and finally (c^2 = 25). Taking the square root of both sides, (c = 5). Therefore, the length of the hypotenuse is 5 units.

Coordinate Geometry:

Coordinate geometry involves using algebraic methods to study geometric shapes. It's the bridge between algebra and geometry. The Cartesian coordinate system is used to represent points on a plane.

Distance Formula:

The distance between two points ((x_1, y_1)) and ((x_2, y_2)) in a plane is given by (\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}).

Midpoint Formula:

The midpoint of a line segment between two points ((x_1, y_1)) and ((x_2, y_2)) is (\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)).

Three-Dimensional Geometry:

Geometry extends into three dimensions with concepts such as points, lines, and shapes in space. Common shapes include cubes, spheres, cylinders, and cones.

Trigonometry and Geometry:

Trigonometry is closely related to geometry and involves the study of the relationships between the angles and sides of triangles. Key trigonometric ratios include sine, cosine, and tangent.

Proofs of Geometry

Proofs are essential in geometry to demonstrate the validity of statements and theorems. Different methods of proof include direct proof, proof by contradiction, and proof by induction.

Geometry is a vast field that encompasses diverse concepts, methods, and applications. From understanding basic shapes to exploring complex spatial relationships, geometry plays a pivotal role in various disciplines. This guide has provided an overview of essential concepts, examples, and methods in geometry, empowering learners and AI-based systems to navigate and comprehend this fascinating mathematical realm. By mastering these fundamentals, you'll be well-equipped to tackle more advanced geometric challenges and contribute to the ever-evolving world of mathematics and its applications, use maths.ai to ace your education.

#mathsai #mathematics #ai #mathsguide

[calebmatthew1]

Triangle Calculator: Quick and Accurate Solutions for Triangle Problems

At Allcalculator.net, we understand the importance of accurately calculating various aspects of a triangle for solving geometric problems. That's why we have developed a powerful Triangle calculator that can quickly and accurately compute the sides, angles, and area of a triangle. With our calculator, you can effortlessly solve a wide range of triangle-related inquiries, making your geometric calculations easier and more efficient. Trust Allcalculator.net for precise solutions to your triangle problems.

 Triangle Classification:

The calculator at Allcalculator.net can determine the classification of a Triangle based on its sides and angles. It can identify whether a triangle is equilateral (all sides equal), isosceles (two sides equal), or scalene (all sides different). Additionally, it can classify triangles as acute (all angles less than 90 degrees), obtuse (one angle greater than 90 degrees), or right (one angle equal to 90 degrees).

 Triangle Perimeter:

Calculating the perimeter of a triangle involves adding the lengths of its three sides. With our triangle calculator, you can input the values of the Triangle's sides, and it will instantly compute the perimeter, saving you time and effort.

Triangle Area:

Determining the area of a triangle is crucial for various applications, such as calculating surface areas, designing structures, or understanding the spatial relationships in a given context. Our calculator employs Heron's formula, which allows for precise area calculations using the lengths of the triangle's sides. By entering the side lengths, the calculator will quickly provide the accurate area of the triangle.

Triangle Angles:

The calculator can also solve for the Angles of a triangle. Depending on the information available, you can input the lengths of the triangle's sides or the measures of its angles. The calculator will then use the appropriate trigonometric formulas to calculate the missing angles, providing you with a comprehensive view of the triangle's geometry.

Pythagorean Theorem:

For right triangles, our calculator can utilize the Pythagorean theorem to find the length of the missing side. By inputting the lengths of two sides, it will automatically calculate the length of the third side, allowing you to solve right triangle problems efficiently.

Conclusion:

With the Triangle Calculator at Allcalculator.net, you can quickly and accurately solve a wide range of triangle problems. Whether you need to classify a triangle, find its perimeter, area, and angles, or apply the Pythagorean theorem, our powerful calculator provides efficient solutions. Take advantage of this valuable tool to enhance your geometric calculations and explore the fascinating world of triangles with confidence.

#triangle calculator #triangle #math calculators #fitness and health calculators #allcalculator

[photofixal]

Top 6 Product Photography Angles

 Product photography angles are specific ways of positioning and capturing a product in a photograph. The straight-on angle is when the product is directly centered in the frame. The 45-degree angle involves tilting the camera to create an interesting shadow effect. The bird’s eye view is shot directly from above, while the worm’s eye view is captured from a low position. The eye-level angle captures the product at eye level, giving it a relatable look. Finally, lifestyle angles place the product within a specific context, such as a person using it, to give the viewer an idea of how the product can be used.

1. Front View: The front view angle is the most common angle used in product photography. It presents the entire product in an attractive and clear manner, showing all key design and functional features.

2. Top View: The top view angle gives an aerial perspective of the product. This angle allows customers to see the size and shape of the product, as well as any unique features that may not be visible in a front view.

3. Side View: The side view angle showcases the product from a single side. This angle is helpful in highlighting specific product details on a particular part of the product.

4. 45-Degree Angle: The 45-degree angle is a popular angle used mainly for product details. This angle provides a balanced view of the product from a diagonal perspective. It is ideal for highlighting product texture and capturing detailed shots of a product.

5. Lifestyle Shot: Lifestyle shots are taken in a natural environment that portrays the product in action. This angle captures the product in use, thus enabling potential customers to visualize and connect with the product.

6. Eye-Level Angle: The eye-level angle is an excellent angle for products that are used in proximity to the user's face, such as beauty products, headphones, and cameras. It is an effective angle that provides a unique and compelling perspective of the product that is hard to achieve using other angles.

Which angles should you use?

That would depend on what you are trying to calculate or measure. There are different types of angles such as acute (less than 90°), right (exactly 90°), obtuse (more than 90° but less than 180°), and straight (exactly 180°). Additionally, angles can be measured in degrees, radians, or gradians. It's important to determine which type of angle and unit of measurement are appropriate for the task at hand.

Food photography is an art that involves taking pictures of food with unique angles and techniques that make the food look more appealing and appetising. Different angles can add a new dimension and enhance the overall aesthetic of the food. Here are some benefits of using different food photography angles:

The Benefits of Using Different Food Photography Angles

1. Different angles create interest: Shooting from different angles can create interest and intrigue by showing a different perspective of the food. It can also emphasise certain aspects of the dish, such as texture or colour.

2. Highlight the elements of the dish: Shooting from a low angle can highlight the visual appeal of the dish, such as layers and textures of a cake or the freshness of a salad.

3. Variation in storytelling: Different angles help to tell different stories. For example, a top-down shot can give a bird’s-eye view of a table full of food, while a close-up can show the intricate details of a single dish.

4. Showcasing the environment: Sometimes, it’s important to showcase the surroundings or the environment where the food is served. An angle that includes some of the surroundings creates a setting for the dish and adds context to the image.

5. Adding unique touch: Using varied angles can add a unique touch to the photos, which can differentiate them from other similar dishes. It can also showcase the personality and style of the photographer.

Overall, the use of different angles adds artistic value to the food images, making them more visually appealing to the audience.

#Background remove #Photo retouching #Image masking

[tittacal]

Supplementary angle in real life

Therefore ∠ c = 45°.Geometry introduces us to different kinds of angles like acute angles, right angles, and obtuse angles. ∠ a and ∠ c are vertical angles, and vertical angles are equal. ∠ a and ∠ d are supplementary angles (add up to 180°). Given that ∠ a = 45°, find all the other angles in the diagram below. Some of the examples of adjacent angles from the above figure are: Pairs of corresponding angles from the above diagram are:Īdjacent angles are pair angles that are next to one another. Corresponding angles are also equal to each other. Alternate exterior angles are equivalent.Ĭorresponding angles are pair angles formed when a line intersects a pair of parallel lines. Alternate interior angles are always equal to each other.įrom the above diagram, alternate angles are:Īlternate exterior angles are vertical angles of the alternate interior angles. Vertical angles are pair angles formed by two intersecting lines such that the angles are opposite to each other.Īlternate interior angles are pair angles formed when a line intersects two parallel lines. Some of the examples of supplementary angles include: ∠ ABD is a supplement of ∠ DBC because Supplementary angles are pair angles whose sum of degree measurements equals 180° (straight line). ∠ ABD is a compliment of ∠ DBC because ∠ ABD + ∠ DBC =90° (right angle). Two angles are said to be complementary to each other if their sum equals 90° (right angle). Alternate interior angles and alternate exterior angles.Angles PairsĪngle pairs are angles that appear in twos to display a certain geometrical property. You can use the same procedure to draw any angle less than 180°. Label your diagram such that A and C are the sides and B is the vertex of the angle.Using a ruler, join the dot with the mark on the line.Move anticlockwise along the protractor scale and place a dot at 50°.Place the base of the protractor on the line such that its center coincides with the mark.Draw a straight line of any dimension and place a dot along the line.Now, remove the protractor and then use a ruler to join the dot with the vertex mark.Find the given angle on the protractor scale and mark a small dot at the protractor’s edge.Place the middle of the protractor at the vertex dot and ensure the mark on the line and the protractor flashes center.The dot will represent the vertex of the angle. Mark a dot at any position on the line.The straight line will act as the arm of the angle. Draw a straight line of any measurement.Line up one line along the 0° mark on the protractor and follow the second line to read the angle.Īngles less than 180° can be drawn using a protractor by following the steps below: To measure angle “α = 30 o” between two lines, proceed as follows: Make sure the vertex of lines coincides with the midpoint of the protractor.įinally, follow the second line to read to the nearest degree the size of the angle. To measure an angle using a protractor, line up one line or ray along the protractor’s zero-degree line. You can read angles from a protractor either by moving clockwise or anticlockwise. A protractor is a transparent glass or plastic tool with calibrations in either in radian or degree scale. The modern way of measuring an angle is by the use of a protractor. You can see the best evidence of this method in the Egyptian Museum found in Berlin.Ī shadow was cast over a graduated stone tablet using a vertical rod known as “ Gnomon.” With this method, Egyptians were able to measure time and seasons accurately. The concept of measurement of angles is dated back to 1500 BC in Egypt, where it took the Sun’s shadows against graduations marked on stone tablets. Here, points A and C are the sides of the angle, while B is the vertex of the lines. Angles are represented using the symbol ∠ and the Greek letters such as θ, α, etc.įor example, ∠ ABC = θ. The units for measuring angles are the degree (°) and radian (rad). The rays or lines that join or intersect at a common point to form an angle are referred to as sides of the angle. In mathematics, an angle is defined as a geometric figure created by two rays sharing a common end point. For many such reasons, it is, therefore, necessary to study angles. And that’s how the clocks are designed to synchronize with the rotation of the Earth. It takes the earth 24 hours to rotate at an angle of 360°. For example, the minute hand of a wall clock turns angle 360 degrees to make a minute. Angles – Explanation & Examples What is Angle?Īngles are useful in our daily life, so it’s important to learn and understand them.

#Supplementary angle in real life

[prapatti01]

Classification and Properties of Triangles - Turito

A triangle is a geometric figure with three sides and three corners. Remember the polygon with the fewest number of sides? Hmm, a triangle. Polygons are simple closed curves. Consists of line segments. Can a single line segment create a closed curve? The answer is no. If you try to create a curve with two line segments, it won't work. Therefore, we need to create three segments and intersect them to form a closed curve, or triangle. A triangle is therefore a closed curve consisting of three line segments. A square consists of 4 lines of equal length and 4 right angles. Creating triangles is easy because there are no rules. If you connect the three line segments in any way, you get a triangle.

Let's take a look at the different types of triangles we get.

Activity

This activity will help you understand how to classify triangles at a basic level.

• Take pictures of different triangles from the internet.

• Then print them.

• Measure the various sides and angles of a given triangle using a protractor and ruler.

• Are all sides and angles of different triangles equal? ​​The answer is no.

• Different triangle sides and angles have different measurements.

• This difference in the sides and measurements of the various triangles helps classify them.

• Also note that if all angles of a triangle are equal, then its sides are also equal.

• If all sides of a triangle are equal, then it’s angles are also equal.

• A triangle with two equal sides also has two equal angles, and a triangle with two equal angles also has two equal sides.

• If the angles of any triangle are unequal, then the sides are unequal.

• If all three sides of a triangle are unequal, then all three angles are also unequal.

• After going through the whole discussion, we will be able to classify each triangle according to its angles and sides.

Properties of triangles

• A triangle has 3 sides, 3 corners, and 3 vertices.

• The sum of all the interior angles of  triangle is equal to 180 degrees.

• The sum of the two sides of the triangle must be greater than the other side.

• The largest side of the triangle is the one opposite to the largest angle

• Adding the three exterior angle values ​​of a triangle gives the result 360 degrees.

Type of angle based on measurement

Before classifying triangles by angle, we need to understand the types of angles. It helps to understand the discussion of how to better classify triangles.

• Angle whose measure are less than 90 degrees are called acute angles.

• An angle whose measurement equals 90 degrees is called a right angle.

• Angles which are greater than 90 degrees and less than 180 degrees are called obtuse angles.

How to classify triangles in terms of their angles

A triangle has three corners. Adding all three angles of a triangle gives 180 degrees.

Just as we categorized types of angles by the same criteria, we can categorize triangles into different types.

• Acute Triangles: A triangle with all three acute angles is called an acute triangle.

• Right Triangles: Triangles with right angles are called right triangles. A triangle can only have one right angle and not more than one. The sum of all the three angles of the triangle must be equal to 180 degrees. Therefore, if one angle equals 90 degrees, the sum of the other two angles must equal 90 degrees. If you try to construct a triangle with two right angles, you cannot assume that the third angle is 0. In this case, the third side of the triangle overlaps the other two sides and cannot form a triangle. Therefore, it is not possible to create a triangle with multiple angles equal to 90 degrees. The other two corners of a right triangle must be acute.

• Obtuse Triangle: Such a triangle has one angle greater than 90 degrees and less than 180 degrees. Now, can we say that an obtuse triangle has one obtuse angle? Yes. The sum of the three angles in a triangle must equal 180 degrees, so the other two angles in an obtuse triangle must be acute.

How to classify triangles in terms of their sides

A triangle consists of three sides. The three sides of the triangle can have the same or different dimensions.

• Isosceles Triangle: An isosceles triangle is a triangle that has two sides with exact measurements, but a third side with different measurements.

• Irregular Triangles: Odd triangles are triangles that have different measurements on all three sides.

• Equilateral Triangle: An equilateral triangle is a triangle with all the three sides of equal length. The same sides of a triangle are called congruent sides. Therefore, all sides of an equilateral triangle are congruent.

Exterior angle of triangle:

Extending the sides of a triangle creates corners on the outside of the triangle. This angle is known as the exterior angle of the triangle. The exterior angle theorem provides this concept. To better understand this concept, let's create a triangle with exterior angles.

• Draw a triangle ABC and extend one of its sides, say BC, as shown. Observe the angle ACD formed by point C. This angle is outside triangle ABC.

• It can be said that it is the exterior angle of the triangle ABC formed by the angle C.

• Corner BCA is the corner adjacent to corner ACD.

• The remaining two angles of the triangle, angle A and angle B, are called the two diagonal interior angles or the two far interior angles of the angle ACD.

• The any one exterior angle of a triangle is equal to the sum of its opposite interior angles.

Application of triangles in our day to day life

A triangle is the basic unit of all polygons. The concept of triangles has been widely used since ancient times. Triangles appear in many aspects of our daily lives, including engineering, mathematics, architecture, carpentry, astronomy, navigation, and physics. This shape can be seen everywhere. A triangle is the strongest shape that forms a strong base.

• Architecture: It's not uncommon to find triangular structures when constructing buildings. The application of the triangle concept in building construction can be seen in the form of the Egyptian pyramids. Another such example is the historic Eiffel Tower. The triangular shape makes these historic buildings look unique and attractive. It also strengthens the base of the tower. A triangle derives its strength from its shape, distributing the force evenly on its three sides. Square structures are also very common. This is because squares stack easily. Triangular buildings are more difficult to construct, but the resulting structures are more stable.

• Most houses have triangular roofs. In areas where it snows, you can see many houses with triangular roofs. • The triangular roof creates a slope that allows snowfall and prevents water from accumulating on the roof.

• A sailboat has a triangular sail. In the past, sailing ships had square sails, but now most have triangular sails. Their shape helps the boat go upwind. This method is called tucking.

• Mountains are triangular. Determine the height of the hill or pole using the concept of right triangle properties. You can also use the triangle concept to find the distance from the tower to the ship.

• Triangles are used to build bridges. This shape helps distribute weight without affecting proportions evenly. Incorporating triangles into the structure of the bridge made it stronger and able to withstand more weight.

• Knowledge of right angles is used in the construction of stairs. The ladder also becomes a triangle when it is leaned against the wall. This position is held firmly. Many foods are triangular, including sandwiches, pizza, and packaged snacks. This shape makes it more attractive and easy to handle. Children prefer triangular sandwiches to sandwiches of other shapes.

• A similar triangle is used to determine the height of objects that are difficult to measure manually. For example, skyscrapers, towers, etc.

• The slope forms a triangle with the ground. Makes loading and unloading easier. You've probably heard packages being unloaded from planes on hillsides. It makes the job easier.

• Traffic signs are triangles. Make them easily identifiable.

• Geometric instruments like protractors are triangles. It helps you draw parallel, vertical and other diagonal lines with precision.

[a23darsh]

Area of a Triangle

Area of a triangle:

A plane figure with three straight sides and three angles. We know that a triangle is a closed shape and has three sides and three vertices. The basic formula of the area of a triangle i.e., A = ½*b*h.

The formula of the area of a triangle applies to every type of triangle acute, right, scalene, isosceles, equilateral, and obtuse. We should remember that the base and the height of the triangle are perpendicular to each other.

We are going to learn in this lesson about the area of a triangle and the different types of triangles.

What are triangles?

A triangle is a plane figure bounded by three straight lines. The straight lines AB, BC, and CA which bound triangles ABC are called its sides. The side BC may be regarded as the base and AD as the height.

Types of triangles:  There are six types of triangles 

Area of Triangle using Herons formula:

It is used when all sides of the triangle are given.

This formula is used when all three sides of the triangle are given.

There are types of areas of the triangle

Area of a right-angled triangle.

Area of an Equilateral Triangle.

Area of an Isosceles Triangle.

Area of a Right-Angled Triangle

 A right-angled triangle is also known as the right triangle. It has one of the angles as 90 degrees. The height of the triangle is the length of the perpendicular side.

Area of an Equilateral Triangle

An area of an Equilateral Triangle is a triangle in which all sides are equal.

Area of an Isosceles Triangle

An area of an isosceles triangle has two of its sides equal and also the opposite the equal sides are equal.

#art #bjj #geometry #triangle #student

[savrenim]

I was so mad that I made a bad math pun back

[Image Description: a picture of a board presumably outside of a store with the text “Are you cold? Come sit in the corner...it’s 90 degrees!” above a drawing of a 90 degree angle of a corner.” A caption is overlaid on this picture reading “That’s acute joke.” The first comment below reads “nO THE ANGLE IS RIGHT BUT THE JOKE ISN’T”]

#I'm funny guys #math puns #bad math puns #the math fandom #the geometry fandom #for people out there who don't do math #a 90 degree angle is called a right angle #any angle STRICTLY less than a 90 degree angle is called an acute angle #(strictly greater than 90 degrees is an obtuse angle but that doesn't matter here) #the attempted joke is 'ha ha ha let's make a pun with acute' #wHICH OF COURSE MADE ME ANGRY BECAUSE IT'S *NOT* AN ACUTE ANGLE #hence the joke that is a pun on 'right' as it is a GODDAMN RIGHT ANGLE

[it-is-no-desert]

more mando'a

apparently i compile conlang geometry vocab in my free time for fun now, so here they are. if you have a reason to use them.... palpatine do it dot jpg Note: the terms with asterisks preceding them are the ones i made up (feel free to suggest diff approaches! i like hearing 'em)

briik = line *briikyc = linear, straight brii'briik = grid (lit. line by line) briirud = circle (lit. round line) rud = around, round *rud'la = circular *anirud = sphere (lit. completely round) *anirud'la = spherical *kyr'anirud = pole (lit. end of sphere) dul = half (*could be the exact fraction term, vs. ge'sol being more figurative?) *dulrud = semicircle shaadlar = to move *shaadlast'rudir = to rotate/spin (lit. to move itself/oneself circularly) *brii'shaadlarud = axis of rotation (lit. line of rotation/line of round movement) nakil = corner (*could also be the term for an intersection/angle?) *sheketa'nakil = a right angle (lit. 90 corner) *kih'nakil = acute angle (lit. small corner) *ori'nakil = obtuse angle (lit. big corner) cunak = square (lit. 4 corner, cuir + nakil) *ehnak = triangle *raynak = pentagon *resolnak = hexagon *etanak = septagon *shehnak = octagon munad = height, elevation munit = long *muni'briirud = an oval, elipse shape (lit. long round line) *muni'anirud = ellipsoid (lit. long sphere) siver = degree *ehn'olan rol'eta sivere = three hundred sixty degrees

yustarud = perimeter veeray = area sosol ti = equal with majycir = to add hiibir = to take (*could also used to mean 'to subtract'?) doslanir = to cross, to intersect *draar'doslanyc = parallel (lit. never crossing)

#i will say... when i realized square was just a compound of 4 corners... Poetic #now on to my next endeavor: the terms for multiplication and division #mandoa #mando'a #star wars #mandalorian culture #mandoposts #stonieposts

[foreverfangirlalways]

For the writing promprs thing: Are you an angle? Cause you're acute. With Logince, please.

Title: Acute Angles

Prompt: “Are you an angle? Cause you're acute.”

Ship: Logince

Warning: Pickup lines, flirting, oblivious gays, hissing, kinda vagueness, fast ending (I kinda gave up and took a nap 😅🤷‍♀️)

Summery: Logan is a tutor, and has a new charge of Roman. With the dramatic theater geek, the intellectual nerd, puns, and angles, what could go wrong?

*I hope you like it!!!*

———

Truly, Logan should have seen this coming. Really, there was only one way for their situation to end. So what if it’s basic? But I am getting ahead of myself, let me start at the beginning.

Logan is the best tutor his school has to offer, and the drama teacher, Mr. Thomas, offered him extra credit if he took on a new charge.

“Please Logan, I know that you view this art credit as useless, but Roman thinks of it as his whole life. If he doesn’t bring his geometry grade up, he will fail and he will no longer be able to be the lead. That would simply break him. Will you be his tutor?”

Logan thought about it, looking pensive. Math was one of his best subjects, not that he had a bad one. However, Roman was one of the most dramatic and, umm, extra (vocab card!) people he had ever met. But tutoring him would look great on a transcript, so there is only one true option.

“I will tutor Roman, but I will not rearrange my entire life for him. I am only free Tuesdays and Thursdays, after school from 3:45 to 6:30. If he does not show up, that is not my fault and I will drop him as a client. Does that sound acceptable to you?”

Mr. Thomas nodded, looking extremely grateful and relieved. “Thank you so much Logan, I will give him your number and y’all can sort out where to meet up.”

Mr. Thomas was true to his word, because Logan got a text from an unknown number in the middle of lunch.

*Unknown: Hi tutor!!! I am the esteemed Roman, here to request to location of our first rendezvous.*

Logan groaned. “I already regret this.”

His friends, Virgil and Janus looked up at him curiously.

“What’s up Lo?” Virgil asked while stealing one of Janus’s fries. Janus hissed and tried to take the fry back, but Virgil just hissed louder before shoving the fry in his mouth.

Logan rolled his eyes, then informed his friends of who was texting him, and why.

“Oh, good luck Logan. I got paired with Princey for a project, and I swear the only time he ever actually did anything other than talk about theater was when he thought I was flirting with him.”

Both Janus and Logan raised their eyebrows at Virgil’s words.

“And why, pray tell, did he think you were flirting with him?” Janus asked, preparing for blackmail information.

Virgil flipped off Janus, knowing full well what he was looking for. “We were writing the romance scene of a short story, and he forgot that. So when I said a pickup line for the protagonists to say to the love interest, he thought I was hitting on him. It actually worked out though, because once he realized what happened, we were able to just use his response by tweaking it a bit.”

Logan thought for a second, then shook his head. “While that is certainly interesting, I am tutoring him in Geometry, and don’t really see how that could be applicable.”

Virgil shrugged and Logan got set to saving Roman’s number and then texting him his address. Janus, a bit upset with not having gotten any dirt on Virgil, decided to tease him.

“Maybe you should use that pickup line on a certain sunglass wearing  coffee addict.” Virgil glared at Janus, and Logan was trying to figure out what ttyl meant.

“Maybe you can bite me Deceit. Why don’t you go and make puns with the cardigan clad cheerleader you simp over.”

Janus and Virgil started hissing at eachother again, until Logan cleared his throat. They looked at Logan, and then the bell rang.

“What does tee-tee-why-el mean?” Both friends laughed and said, “Talk to you later!” leaving a very confused Logan to gather his stuff up and start flipping through vocab cards.

-_-_-_-

It was Logan and Roman’s third tutoring session, and they had made little progress. Logan thought Roman was intelligent, and handsome, he was just uninterested. However, Roman has shown great interest in Logan, and things that Logan likes.

After talking about this little fact with Virgil and Janus, they came up with a plan.

“Alright Roman, this angle is 134 degrees, which is more than 90 degrees. That makes this angle an...” Logan trailed off, waiting for Roman to answer. Roman thought for a minute, then brightened.

“An obnoxiousness angle!”

Logan sighed. “Close, obtuse. It’s an obtuse angle if it’s over 90 degrees.

Roman looked sheepish. “Right, sorry, I knew that. I must have forgotten when I got lost in your eyes.”

Logan tried very hard to not let his blush show. “Don’t worry Roman, I know you are not so obtuse that you can’t figure it out.”

Roman let out a high-pitched sound that might have been a squeal. “Word play, that’s a great way to remember it! Also, was that a compliment?”

“Moving on,” Logan said quickly, “you think word play could help you remember the terms?”

Roman nodded, which meant that the plan was working.

“Alright, well, vertical angle are angles that connect through a vertex and equal the same amount. Let’s see...”

“Ooo!” Roman shouted. “What about a phrase?”

Logan nodded. “It would have to be something you could remember and that makes sense to you, but yes.”

“What about, ‘Virgil points at Remy’?”

Logan looks confused. “How would that-“

“Because Virgil starts with a v and so does vertical, points and point of a vertex, and they are both equal parts oblivious gay!”

Logan busts out laughing, and Roman looks shocked. He has never heard Logan laugh before.

“That is definitely a good one. I might actually use that one from now on.”

Roman blushed and smiled. He looked like he was glowing. He actually looked... uh oh. Feelings.

Logan cleared his throat and decided to uses the line Janus suggested.

“What about angles that are less than 90 degrees?”

Roman looked stumped, and Logan took advantage that fact.

“Actually, they remind me of you. Are you an angle? Cause you're acute.”

Roman studdered, and blushed.

“Yeah.” He squeaked. “That’s a good one.”

Logan just winked and continued on to supplementary angles. Roman ended up passing his test, did fabulously in the play, and asked out Logan.

Logan of course said yes, and by prom time, they decided to share a limo with Virgil and Remy, who finally got together, and once Patton asked Janus to prom, they invited them to ride along too.

And when Logan and Roman share their first kiss at prom, well, Logan really should have seen that coming.

[spring-of-mathematics]

55 Funny Math Jokes And Puns That Will Make You Smile, Easy As Pi.

1. Why should you never talk to Pi?

Because she’ll go on and on and on forever.

2. Why do teenagers travel in groups of 3 or 5?

Because they can’t even.

3. Why should you worry about the math teacher holding graph paper?

She’s definitely plotting something.

4. What did the zero say to the eight?

Nice belt!

5. What do you call a number that just can’t keep still.

A roamin’ numeral.

6. Why is it sad that parallel lines have so much in common?

Because they’ll never meet.

7. Are monsters good at math?

Not unless you Count Dracula.

8. Why are obtuse angles so depressed?

Because they’re never right.

9. What’s the best way to woo a math teacher?

Use acute angle.

10. Did you hear about the mathematician whose afraid of negative numbers?

He’ll stop at nothing to avoid them.

11. How come old math teachers never die?

They tend to just lose some of their functions.

12. My girlfriend is the square root of -100.

She’s a perfect 10, but purely imaginary.

13. How do you stay warm in any room?

Just huddle in the corner, where it’s always 90 degrees.

14. Did you hear the one about the statistician.

Probably.

15. What’s the best way to serve pi?

A la mode. Anything else is mean.

16. A farmer counted 297 cows in the field.

But when he rounded them up, he had 300.

17. Did you hear about the statistician who drowned crossing the river?

It was three feet deep on average.

18. hy don’t calculus major throw house parties?

Because they know firsthand that it’s a bad idea to drive and derive.

19. Why did the chicken cross the Mobius Strip?

To get to the same side.

20. Why do math teachers love parks so much?

Because of all the natural logs.

21. How do you do math in your head?

Just use imaginary numbers.

22. Why was the math lecture so long?

The professor kept going off on a tangent.

23. How many mathematicians does it take to change a light bulb?

One—she just gives it to three physicists, thus reducing it to a problem that’s already been solved.

24. Why do plants hate math?

Because it gives them square roots.

25. Why are math books so darn depressing?

They’re literally filled with problems.

26. Why does algebra make you a better dancer?

Because you can use algo-rhythm.

27. What kind of snake does your math teacher probably own?

A pi-thon.

28. What’s the best place to do math homework?

On a multiplication table.

29. How do you get from point A to point B?

Just take an x-y plane or a rhom’bus.

30. How do you make seven an even number?

Just remove the “s.”

31. Where do mathematicians like to party?

In bar graphs.

32. Why shouldn’t you let advanced math intimidate you?

It’s really as easy as pi!

33. What happens when you hire an odd-job guy to do 8 jobs?

They only do 1, 3, 5 and 7.

34. Why should you never mention the number 288?

Because it’s two gross.

35. What do you call dudes who love math?

Algebros.

36. What did the math teach rate the movie American Pie?

3.14

37. Why is six afraid of seven?

Because seven eight nine!

38. Why DID seven eat nine?

Because you’re supposed to eat 3 squared meals a day!

39. Why didn’t the Romans find algebra very challenging?

Because they always knew X was 10.

40. Why do they never serve beer at a math party?

Because you can’t drink and derive…

41. Why couldn’t the angle get a loan?

His parents wouldn’t Cosine.

42. Why was the math book sad?

Because it had so many problems.

43. Why did the obtuse angle go to the beach?

Because it was over 90 degrees.

44. What do you call an angle that is adorable?

Acute angle.

45. Why does nobody talk to circles?

Because there is no point!

46. Why didn’t Bob drink a glass of water with 8 pieces of ice in it?

It was too cubed.

47. What does the little mermaid wear?

An algae-bra.

48. Why didn’t sin and tan go to the party?

Just cos.

49. Why should you never argue with decimals?

Decimals always have a point.

50. What do you call a number that can’t keep still?

A roamin’ numeral.

51. Dear Algebra, Please stop asking us to find your X.

She’s never coming back—don’t ask Y.

52. What did the student say when the witch doctor removed his curse?

Hexagon.

53. Who invented the Round Table?

Sir Cumference.

54. Why did the two 4’s skip lunch?

They already 8!

55. Why did the student get upset when his teacher called him average?

It was a ‘mean’ thing to say!

#Happy Halloween 31/10/2018

[er-cryptid]

Angle Types

Acute Angle -- < 90 degrees

Right Angle -- = 90 degrees

Obtuse Angle -- > 90 degrees and < 180 degrees

Straight Line -- = 180 degrees

Reflex Angle -- > 180 degrees

Patreon | Ko-fi

#studyblr #math #maths #angles #trig #geometry

[calebmatthew1]

[Infographic]Unlocking The Secrets Of Triangles: How The Triangle Calculator Simplifies Complex Geometry

Introduction:

Geometry has always fascinated mathematicians and thinkers, as it unveils the intricate relationships and patterns that govern the world around us. Among the fundamental shapes, the triangle holds a special place due to its simplicity and versatility. Unlocking the secrets of triangles has been a pursuit of mathematicians for centuries, and with the advent of modern technology, tools like the Triangle Calculator have made it easier than ever to explore and understand the complexities of triangle geometry. In this infographic, we will delve into the significance of triangles, explore their properties, and demonstrate how the Triangle Calculator simplifies complex geometric calculations.

Section 1: The Power of Triangles

Triangles are the building blocks of geometry, serving as the foundation for more complex shapes and calculations.

Triangles possess unique properties, such as the sum of interior angles always equaling 180 degrees and the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Triangles also play a crucial role in trigonometry, as they provide the basis for trigonometric functions like sine, cosine, and tangent.

Section 2: Understanding Triangle Types and Properties

There are several types of triangles, including equilateral, isosceles, scalene, right, acute, and obtuse triangles, each with distinct properties.

Equilateral triangles have three congruent sides and angles, while isosceles triangles have two congruent sides and angles.

Scalene triangles have no congruent sides or angles.

Right triangles have one 90-degree angle, while acute triangles have three angles less than 90 degrees, and obtuse triangles have one angle greater than 90 degrees.

Section 3: Triangle Calculator: A Tool for Simplifying Complex Geometry

The Triangle Calculator is an invaluable tool that simplifies the process of solving various triangle-related problems.

It allows users to calculate missing angles and side lengths, determine area and perimeter, and explore relationships between triangle elements effortlessly.

By entering known values, the calculator can quickly provide accurate results, saving time and reducing the potential for human error.

Section 4: Practical Applications of the Triangle Calculator

The Triangle Calculator finds applications in various fields, including architecture, engineering, design, and physics.

Architects use it to calculate angles for roof slopes, determine dimensions for trusses, and ensure structural stability.

Engineers rely on the calculator to design bridges, analyze forces in trusses, and solve complex geometric problems in construction projects.

Designers utilize the calculator to create visually pleasing layouts, accurately measure proportions, and calculate angles for precise placement.

Physicists apply the Triangle Calculator to analyze vectors, calculate forces, and solve kinematic problems.

Conclusion:

Understanding the secrets of triangles is fundamental to exploring the wonders of geometry. The Triangle Calculator simplifies complex geometric calculations, allowing individuals in various fields to solve triangle-related problems efficiently. By harnessing the power of this tool, professionals and enthusiasts alike can unlock the secrets of triangles and uncover the beauty and precision of geometric relationships. Whether it is calculating missing angles or side lengths, determining areas and perimeters, or exploring advanced concepts in trigonometry, the Triangle Calculator is an indispensable resource in the realm of geometry.

#Triangle calculator #Allcalculator #Financial Calculators #Math calculators #Fitness and Health Calculators