Introduction to Trigonometry

Right Angle – Definition, Calculation, Examples

Right Angle

A right angle refers to an angle that is exactly 90 degrees. This angle is a vital part of geometry and trigonometry. Learn more about right angles here.

Definition of Right Angle

A right angle comes into existence when two straight lines intersect each other at 90 degrees. Furthermore, in a right angle, two straight lines are perpendicular to each other at the intersection. The representation of the right triangle is by the symbol ∟.

A square or rectangle consists of four corners with right angles. Moreover, a vertical or horizontal line makes very common right angles.

Furthermore, diagonal lines which intersect each other also form right angles. Also, if one draws, the diagonals of a kite, a rhombus, or a square, the angle of intersection are 90 degrees. Hence, it means the right angle.

right angle

Euclid in Right Angle

Right angles are certainly fundamental in Euclid’s elements. Euclid defines right angles but there is no usage of numerical degree measurements.

However, the definition of Euclid touches at the very heart of the right angle. It explains that two straight lines intersect to form two equal and adjacent angles.

The straight lines which form right angles are called as perpendiculars. Moreover, two angles are complementary if their sum results in a right angle. Euclid states that all right angles are equal. Furthermore, this allows Euclid to use right angle as a unit for measuring other angles.

Calculation of a Right Angle

The right angle is one of the most useful and prevalent angles. Furthermore, this angle has applications in various fields. The right angle is formed by two lines which happen to be perpendicular to each other.

There are certainly many always to create a 90-degree angle. Moreover, there are various ways to determine whether an angle is a 90-degree angle or not.

An individual must measure the angle with a protractor, for best results. This is because; measurement with a protractor is certainly precise, accurate, and flawless.

The individual must line up the protractor’s bottom with the adjacent side of the angle. Then the individual must align the angle’s point with the crosshairs of the protractor. Consequently, the individual must note the measurement marking as indicated by the opposite side.

The individual must use of mathematical inference for the determination of the angle. Moreover, an individual can make use of basic geometric principles to determine the angle. Also, if the indication of the angle is with a small square rather than a curved line, then the angle is certainly 90 degrees.

Solved Question For You

Q1 Which of the following statements is not true when it comes to Right angles?

A. An angle which is equal and greater to than 90 degrees
B. An angle that is exactly 90 degrees
C. An angle that is formed when two straight lines intersect each other at 90 degrees
D. The representation of the right triangle is by the symbol ∟

A1 The correct answer is option A. which is an angle which is equal and greater to than 90 degrees. This is because the right angles are exactly 90 degrees, neither less nor more.

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