# Right Angle – Definition, Examples, Facts

Updated on January 9, 2024

Welcome to Brighterly, the best place for children to learn and explore math concepts in a fun and engaging way! In this adventure, we’re going to dive deep into the world of right angles and unveil their secrets. So buckle up, and let’s start our exciting journey into the realm of right angles!

## What is a Right Angle?

In geometry, a right angle is an angle that measures precisely 90 degrees. This special angle is formed when two straight lines intersect, creating four equal angles. Right angles are commonly found in squares, rectangles, and other geometric shapes. They play a crucial role in many mathematical concepts and real-world applications, such as architecture, engineering, and even art!

## Right Angle Shape

A shape that has a right angle is called a right-angled shape. Some common right-angled shapes include squares, rectangles, and right-angled triangles. These shapes have at least one angle that measures exactly 90 degrees. You can identify a right angle by looking for a small square in the corner, which is often used to represent a 90-degree angle.

## Right Angle Triangle

A right angle triangle is a triangle with one angle measuring exactly 90 degrees. The side opposite the right angle is called the hypotenuse and is always the longest side of the triangle. The other two sides are known as the adjacent and opposite sides. Right angle triangles have unique properties and are used extensively in trigonometry, geometry, and various real-life applications.

## Right Angle Triangle Formula

The most famous formula related to right angle triangles is the Pythagorean theorem. This theorem states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In other words, `a² + b² = c²`

. This formula helps us find the length of any side of a right angle triangle if we know the lengths of the other two sides.

## Right Angle Triangle Properties

Some key properties of right angle triangles include:

- The sum of the angles in a triangle always adds up to 180 degrees, and since one angle is 90 degrees, the other two angles must be acute (less than 90 degrees).
- The side opposite the right angle is the hypotenuse and is always the longest side.
- The Pythagorean theorem is always true for right angle triangles.

## Right Angle Triangle Area

To find the area of a right angle triangle, you can use the following formula: `Area = ½ × base × height`

. The base and height are the two sides that form the right angle, and they are perpendicular to each other.

## Right Angle Isosceles Triangle

A right angle isosceles triangle is a special type of right angle triangle where the two sides that form the right angle are equal in length. In this case, the two acute angles will also be equal, each measuring 45 degrees.

## How to Draw a Right Angle Using A Protractor?

To draw a right angle using a protractor, follow these steps:

- Draw a straight line on a piece of paper.
- Place the protractor’s center hole on the endpoint of the line, making sure the base line of the protractor aligns with the drawn line.
- Locate the 90-degree mark on the protractor and draw a small dot.
- Remove the protractor and draw a straight line connecting the endpoint of the first line to the dot. You now have a right angle!

## Solved Examples

Coming soon: Visit our YouTube channel for step-by-step video tutorials on solving right angle triangle problems!

## Practice Problems

- In a right angle triangle, the lengths of two sides are 3 cm and 4 cm. Find the length of the hypotenuse.
- If the hypotenuse of a right angle triangle measures 13 cm and one side measures 5 cm, what is the length of the other side?
- Calculate the area of a right angle triangle with a base of 6 cm and a height of 8 cm.
- Determine the angles of a right angle isosceles triangle.

## Conclusion

Throughout this informative and engaging article, we have discovered the fascinating properties of right angles, right angle triangles, and how they form the backbone of numerous mathematical concepts. As we journeyed through the world of right angles, we learned about their shapes, applications, and unique features that make them essential in both simple and complex mathematical problems.

By mastering these fundamental concepts, your child will be well-equipped to tackle more advanced topics in mathematics with confidence and enthusiasm. Here at Brighterly, we are dedicated to providing your child with an exciting and enjoyable learning experience that will spark their curiosity and inspire a lifelong love for math.

Remember, the adventure doesn’t end here! Keep exploring and learning with Brighterly as we continue to uncover the wonders of mathematics together. Happy learning!

## Frequently Asked Questions on Right Angle

### Why is a right angle called a right angle?

The term “right angle” comes from the Latin word “rectus,” which means “straight” or “upright.” A right angle is called a right angle because it is formed when two straight lines intersect, creating an angle that appears straight or upright.

### Can a triangle have more than one right angle?

No, a triangle cannot have more than one right angle. The sum of the angles in a triangle is always 180 degrees, and if a triangle had two right angles, the sum would be greater than 180 degrees, which is not possible.

### How can I find the area of a right angle triangle if I only know the length of the hypotenuse?

You cannot determine the area of a right angle triangle with only the length of the hypotenuse. You need to know the lengths of the two sides that form the right angle (base and height) to calculate the area.