# One leg of a right triangle is 96 inches. How do you find the hypotenuse and the other leg if the length of the hypotenuse exceeds 2.5 times the other leg by 4 inches?

##### 1 Answer

Jan 15, 2016

Use Pythagoras to establish

#### Explanation:

Let

then the hypotenuse

And we are told the the first leg

We can use Pythagoras' equation

Reordering gives us

Multiply throughout by

Using the quadratic formula

so

We can ignore the negative answer as we re dealing with a real triangle, so the other leg

The hypotenuse