A right triangle in which two sides and two angles are equal is called Isosceles Right Triangle.

More About Isosceles Right Triangle

In an isosceles right triangle, the angles are 45°, 45°, and 90°.
Isosceles right triangle satisfies the Pythagorean Theorem.
The length of the hypotenuse in an isosceles right triangle is times the side's length.

Video Examples: How to solve the Right Isosceles triangle? 45-45-90

Example of Isosceles Right Triangle

The given figure is an isosceles right triangle as the sides AB and BC are equal in length and angle B is a right angle.

Solved Example on Isosceles Right Triangle

Ques: Which of the following is an isosceles right triangle?

Choices:

A. Figure 3
B. Figure 1
C. Figure 4
D. Figure 2
Correct Answer: D

Solution:

Step 1: An isosceles right triangle has two sides equal and measure of one of its angles is 90°.
Step 2: Here, Figure 2 is an isosceles right triangle.