hypotenuse 9 20

Question

A brace for a shelf has the shape of a right triangle. Its hypotenuse is
10
inches long and the two legs are equal in length. How long are the legs of the? triangle?

 

The legs of the triangle are both
______ inches long.

Answer 1

L = length of each leg (the same)

 

Then

 

10² = L² + L² = 2L²

 

100 = 2L²

 

L = √(100/2) = √50 = 7.071 inches