Question

Two legs of a right triangle measure 23 inches and 38 inches. What is the length of the hypotenuse, to the nearest

inch?

Answer 1

hypotenuse ≈ 44 inches

Explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other two sides.

let the hypotenuse be h , then

h² = 23² + 38² = 529 + 1444 = 1973 ( take square root of both sides )

h =
`√(1973)` ≈ 44 inches ( to the nearest inch )