# The hypotenuse of a right triangle is 9 feet more than the shorter leg and the longer leg is 15 feet. How do you find the length of the hypotenuse and shorter leg?

##### 1 Answer

Apr 20, 2018

#### Explanation:

Let

The shorter leg is 9 feet less than the hypotenuse, so the length of the shorter leg is:

The longer leg is 15 feet.

By Pythagoras' theorem the square on the hypotenuse is equal to the sum of the squares of the other two sides:

So we need to solve this equation for

Expand the bracket:

Simplify:

The hypotenuse is

The shorter leg is: