Question

Find the length of the shorter leg of a right triangly if the longer leg is 11 feet more than the shorter leg and the hypotenuse is 11 feet less than twice the shorter leg.

Answer 1

Step-by-step explanation:

let the shorter leg = w

longer leg = 11 feet more than the shorter leg

longer leg = 11 + w

hypotenuse = 11 feet less than twice the shorter leg

twice the shorter leg = 2w

hypotenuse = 11 + 2w

We need to find the value of the shorter leg. To do this we will apply Pythagoras theorem:

Hypotenuse² = opposite² + adjacent²