Question

The length of the hypotenuse of a right triangle is 24 inches. If the length of one leg is 8 inches, what is the approximate length of the other leg?

A)16.0 inches B)18.4 inches C)22.6 inches D)25.3 inches

i just want the answer nothing more nothing less thank you

Answer 1

We use to compute this problem the following theorem:

Pythagoream theorem:

hypotenuse²=leg₁²+leg₂²

Data:

hypotenuse=24 in

leg₁=8 in

leg₂=?

hypotenuse²=leg₁²+leg₂²

(24 in)²=(8 in)²+ leg₂²

leg₂²=(24 in)²-(8 in)²

leg₂²=576 in²-64 in²

leg₂²=512 in²

leg₂=√(512 in²)≈22.63 in

Answer: C) 22.6 inches.

Answer 2

You have to use the pythagorean theorem. a squared + b squared = c squared. You know a = 8 and c=24 so you have to find b. B is 22.63