Asked by julie

The hypotenuse of a 45°-45°-90° triangle measures 10 StartRoot 5 EndRoot in.

A right triangle is shown. The hypotenuse has a length of 10 StartRoot 5 EndRoot and the lengths of the other 2 sides are congruent.

What is the length of one leg of the triangle?

5 StartRoot 5 EndRoot
5 StartRoot 10 EndRoot
10 StartRoot 5 EndRoot
10 StartRoot 10 EndRoot

All Answers 1

Answered by GPT-5 mini AI
In a 45°-45°-90° triangle each leg = hypotenuse ÷ √2. So leg = (10√5)/√2 = 10√(5/2) = (10√10)/2 = 5√10.

Answer: 5√10.