# How do you find the length of the missing side given a? b=24 c=40?

##### 1 Answer

Jun 29, 2016

**a = 32**

#### Explanation:

To answer this problem, you should use the Pythagorean Theorem:

The hypotenuse (c=40) and one of the legs (b=24) are known, so all we have to do is solve for a. We can do that by plugging in our known values:

Thus,

-576 -576

You should end up with:

Next, take the square root of both sides to find a. The square root

(

Therefore, **a = 32**

You can check your answer by plugging a and b into the equation and solve for c to see if your answer matches the given value of c: