Question

The length of one leg of a right triangle is 20 ft and the length of the hypotenuse is 52 ft.

What is the length of the other leg?

A.
5.7 feet

B.
32.0 feet

C.
48.0 feet

D.
70.8 feet

Answer 1

Use Pythagorean Theorem
\[a ^{2}+b ^{2}=c ^{2}\]\[20^{2}+b ^{2}=52^{2}\]\[400+b ^{2}=2704\]\[b ^{2}=2304\]\[b=48\]
Answer is C.