# How do you find the unknown length of a right triangle a=8, b=17 are the given side lengths?

Jul 1, 2018

Unknown length is $18.79$.

#### Explanation:

If $a$ and $b$ are side lengths in a right triangle, the third side is hypotenuse and is given by

$\sqrt{{a}^{2} + {b}^{2}}$

Hence third side in given right triangle is

$\sqrt{{8}^{2} + {17}^{2}}$

= $\sqrt{64 + 289}$

= $\sqrt{353}$

= $18.79$