# Given right triangle ABC, with right angle at C, if b = 8 and c = 17, using the Pythagorean Theorem, what is a?

##### 1 Answer

May 17, 2018

A is 15.

#### Explanation:

So let write the Pythagorean Theorem equation out.

So our value of b is 8 and c is 17. So let plug those number into the equation.

Now you square the known value which you will get:

Subtract 64 from both sides and you get:

Square both side:

When squaring

So the final answer is a = 15

So let double check to ensure that it adds up to 289. If it does not, then somewhere along the way I made a math calculation error.

So a = 15 work.