Right Angle - Definition, Properties, Examples - Cuemath

Right Angle

A right angle is an angle that measures 90 degrees. It is the most commonly seen angle in our day-to-day life. It can be seen in the corners of a room, the edges of boxes, the screen of a mobile phone, and so on. The sides of a square and a rectangle always form a right angle with each other. In radians, it is represented as π/2. Let us discuss more about the right angle definition, the right angle shape along with right angle examples in this article.

1. What is a Right Angle?
2. Right Angle Shapes
3. Right Angle Calculator
4. Triangle with Right Angle
5. FAQs on Right Angle

What is a Right Angle?

A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.

Right Angle Definition

The angle formed by two lines that are perpendicular to each other is called a right angle. A right angle is equal to 90° and is in the shape of the letter 'L'.

Right Angle Degree

The right angle degree is equal to 90°. This is the reason for which 90° is known as the right angle. In the following figure, AB and BC form a right angle ABC.

Right angle ABC

Right Angle Shapes

A right angle looks like the alphabet L. It can be observed in many shapes, like the angle made by the clock hands at 3:00 p.m. Let us see a few right-angle examples in real life now.

Right Angle Examples in Real Life

We can see many right angle examples in real life. A few of them are given below.

  • The edges of a door form a right angle.
  • The four edges of a television.
  • The corner of the chair.
  • The edges of a mobile screen.

Try to identify and notice the right angles in the following shapes.

Right angle shapes - right angle examples in real life

Right Angle Calculator

Some of the devices used for measuring a right angle are protractors, try squares, and set squares. Right angle calculators are used to check if the given angle is a right angle or not. We align the sides of set squares with the given angle and check if the angle is matching with the sides of the set squares. Similarly, we use a try square to check if the given angle is the exact match of the shape of the sides of the try square. The baseline of the protractor should match with the base of the given unknown angle, and then we check if the other ray of the angle passes exactly from the 90-degree mark on the protractor or not. If the ray passes through the 90-degree mark, then it is a right angle otherwise not.

The most commonly used right angle calculators are shown below:

Right angle calculator

Triangle with Right Angle

There is one more place where the right angle is used and that is a right-angled triangle. If among the three angles of a triangle, one angle is 90°, then that triangle is called a right-angled triangle. Since the three interior angles of a right-angled triangle add to 180°, and if one angle is always 90°, then the other two angles must always add to 90°.

Right angle Triangle

Tips and Tricks on Right Angle:

Here is a list of a few points that should be remembered while studying about right angle:

  • Right angles can easily be measured by protractors, set squares, and try squares.
  • The most common examples of right angles are the edges of a door, the four edges of a television, 9:30 of the analog clock, and the corner of a notebook.

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