Question

The front and back of a storage shed are shaped like isosceles right triangles with two sides of length 10 ft. What is the measure of the acute angles in these triangles?

A) 45 degrees
B) 30 degrees
C) 60 degrees
D) 90 degrees

Answer 1

The acute angles of the isosceles right triangle are each 45 degrees, because the sum of angles in a triangle is 180 degrees and one angle is a right angle (90 degrees).

Step-by-step explanation:

The front and back of a storage shed are shaped like isosceles right triangles, where the two equal sides are each 10 ft. In an isosceles right triangle, the two equal angles are the acute angles. Every triangle has angles that add up to 180 degrees, so if one angle is a right angle (90 degrees), the remaining two angles are split evenly, because the triangle is isosceles. Therefore, each acute angle in these triangles is 45 degrees.