The hypotenuse of a 45-45-90 triangle measures 10√5 in.

What is the length of one leg of the triangle?

A.) 5√5

B.) 5√10

C.) 10√5

D.) 10√10

Question

Guest

15 November, 07:36

+3

Answers (2)

Know the Answer?

Blaze Bush · Answer 1

This is the equation all worked out with the trick to 45 45 90 triangles to the side.

the answer is B

Lillianna Price · Answer 2

Let x be the length of one leg ⇒

By the Pythagorean theorem:

x² + x² = (10√5) ²

2x² = 500

x² = 500/2

x² = 250

x = √250 = 5√10

The hypotenuse of a 45-45-90 triangle measures 10√5 in.What is the length of one leg of the triangle?A.) 5√5B.) 5√10C.) 10√5D.) 10√10