Question

The legs of a right triangle are 28 inches and 45 inches.

Use the Pythagorean Theorem to find the length of the Hypotenuse.
Show all your work and include correct units.

Answer 1

hypotenuse = 53 inches

Explanation:

using the Pythagorean Theorem

c² = a² + b²

c is the hypotenuse and a , b the legs

given a = 28 and b = 45 , then

c² = 28² + 45² = 784 + 2025 = 2809 ( take square root of both sides )

`√(c^2)` =
`√(2809)`

c = 53 is 53 inches

the hypotenuse of the right triangle