Question

The leg lengths of a right triangle are 14 in and 26 in. What is the length of the missing side? (Round your answer to the nearest whole)

Answer 1

missing side ≈ 30 in

Explanation:

the triangle is right. Given the 2 legs then the missing side is the hypotenuse.

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 legs.

let x represent the hypotenuse , then

x² = 14² + 26² = 196 + 676 = 872 ( take square root of both sides )

x =
`√(872)` ≈ 30 in (to the nearest whole number )