A right angle is an angle that measures 90°. 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. Also, the diagonals of a square intersect each other at right angles. In trigonometry, it is also represented by π/2. Let us discuss more about right angles in this article.
|1.||Right Angle Definition|
|2.||Right Angle Shapes|
|3.||Right Angle Calculator|
|4.||Triangle with Right Angle|
|5.||Solved Examples on Right Angle|
|6.||Practice Questions on Right Angle|
|7.||FAQs on Right Angle|
Right Angle Definition
A right angle is an angle with a value equal to 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. They are in the shape of the letter "L". In the following figure, ray AB and BC form a 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. We can also see them in the places like:
- Edges of a door.
- Four edges of a television.
- Corner of the chair.
- Mobile screen.
Try to identify and notice the right angles in the following shapes.
Right Angle Calculator
Some of the devices used for measuring a right angle are protractor, try squares, and set squares. Right angle calculators are used to verifying 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 is matched 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:
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 angle triangle add up to 180°, and if one angle is always 90°, then the other two angles must always add up to 90°.
Here is a list of a few points that should be remembered while studying 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.
Check out the following pages related to the right angle.
Example 1: Trevor wants to know which types of angles are greater than the right angle. Can you help him figure out this problem?
From the right angle definition, any angle whose measure is greater than 90° is greater than a right angle.
(a) Obtuse angle
(b) Straight angle
(c) Reflex angle
(d) Whole angle
Example 2: Fiona saw the clock in her home and she was curious to know the angle made by two hands of a clock at 9:00 a.m. and 3:00 p.m. Find the angle made by the clock hands at 9:00 a.m. and 3:00 p.m.
We can see in the picture that the two hands of the clock form an L-shaped angle that is a right angle.
Answer: The angle formed by the clocks at 9:00 am and 3:00 pm is a right angle.
FAQs on Right Angle
What are the Three Angles of a Right Triangle?
A right-angled triangle has two acute angles and one right angle. A right triangle must have a right angle in it. Since the three interior angles of a right-angled triangle add up to 180°, and if one angle is always 90°, then the other two angles must always add up to 90°.
What Angle is a Right Angle?
When two rays meet at 90°, they form a right angle. In trigonometry, it is also represented by π/2.
What is a Right Angle for Kids?
Kids can correlate the right angle with the letter L. It is the angle between the leg and arm of the letter L. If the letter L can be formed anywhere on the given shape, it can be termed as a right angle.
Is a Right Angle Only 90 Degrees?
Yes, a right angle is always equal to 90°. It can never be other than this angle and can be represented by π/2. Any angle less than 90° is an acute angle and greater than 90° can be obtuse, straight, or a complete angle.
What is the Definition of Right Angle?
A right angle is an angle with a value equal to 90°. When two rays intersect and form a 90˚ angle at the intersection, they are said to form a right angle. A right angle is the most commonly seen angle in our day-to-day life. We can see it in many places like the corners of a room, the edges of boxes, the screen of a mobile phone, and so on.