Find the Angles in an Isosceles Right Triangle: 90-Degree Corner Analysis

Question

Look at the isosceles right triangle below. What are its angles?

Video Solution

Solution Steps

00:00 Find the angles of the triangle
00:03 The sum of angles in a triangle equals 180
00:07 Given an isosceles triangle
00:11 A right angle equals 90
00:14 In an isosceles triangle, the base angles are equal
00:17 These angles are equal and sum to 180, therefore they equal 45
00:20 And this is the solution to the problem

Step-by-Step Solution

Let's remember that the sum of angles in a triangle is equal to 180 degrees.

In a right triangle, there is one right angle equal to 90 degrees.

In an isosceles triangle, the base angles are equal to each other.

Therefore, we can calculate this in the following way:

18090=90 180-90=90

90:2=45 90:2=45

In other words, the angle values in this triangle are: 90, 45, 45

Answer

90, 45, 45