# How do you find the unknown length of a right triangle 6in, 10in are the given side lengths?

Jun 20, 2016

$11.6619$ [in]

#### Explanation:

The sides of a right triangle obey the famous pythagorean relationship: Given $a$ and $b$ two sides adjacent to the right angle, and $c$ the side opposite to the right angle, then

${a}^{2} + {b}^{2} = {c}^{2}$

In our case, given $a , b$ as $6 , 10$ then

$c = \sqrt{{a}^{2} + {b}^{2}} = \sqrt{{6}^{2} + {10}^{2}} = \sqrt{136} = 11.6619$