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

Look at the isosceles right-angled triangle below.

Calculate its angles.

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Step-by-step video solution

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00:00 Determine the angles of the triangle
00:03 The sum of the 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 add up to 180, therefore they equal 45
00:20 This is the solution

Step-by-step written solution

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1

Understand the problem

Look at the isosceles right-angled triangle below.

Calculate its angles.

2

Step-by-step solution

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

In a right-angled 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, and 45.

3

Final Answer

90, 45, 45

Practice Quiz

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In a right triangle, the side opposite the right angle is called....?

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