Derivation of Right Angled Triangle Area Formula
For any right triangle, PQR right angled at Q with hypotenuse as, PR
Now if we flip the triangle over its hypotenuse a rectangle is formed which is named PQRS. The image given below shows the rectangle form by flipping the right triangle.
As we know, the area of a rectangle is given as the product of its length and width, i.e. Area = length × breadth
Thus, the area of Rectangle PORS = b x h
Now, the area of the right triangle is twice the area of the rectangle then,
Thus,
Area of ∆PQR = 1/2 × Area of Rectangle PQRS
A = 1/2 × b × h
Right Angled Triangle | Properties and Formula
Right Angled Triangle: A triangle is a polygon with three sides, three vertices, and three angles thus, the name Triangle. A right-angled triangle is a triangle with one right angle (90°). Right Angle Triangle plays a very important role in trigonometry.
In this article, we will learn about the right-angled triangle, including Right Angled Triangle definition, perimeter, area, right-angled triangle formula, and Right Angled Triangle properties in detail.
Table of Content
- What is a Right Angled Triangle?
- Right Angled Triangle Definition
- Properties of Right Angled Triangle
- Right Triangle Formula
- Perimeter of Right Angled Triangle
- Right Angled Triangle Perimeter Formula
- Right Angled Triangle Area Formula
- Derivation of Right Angled Triangle Area Formula
- Hypotenuse of Right Angled Triangle
- Examples on Right Angled Triangle