Question

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=3 inches and c=7 inches, what is the perimeter? If necessary, round to the nearest tenth.

Answer 1

Answer: 16.325 in

Explanation:

First, we will find b. We will use the Pythagorean theorem to do this.

a² + b² = c²

3² + b² = 7²

9 + c² = 49

c² = 40

c =
`√(40)` ≈ 6.324555 ≈ 6.325 in

Now, we will add all the sides together to find the perimeter.

3 in + 7 in + 6.325 in = 16.325 in