# Using the pythagorean theorem, how do you solve for the missing side given a = 8 and b = 15?

Jul 3, 2017

See a solution process below:

#### Explanation:

The Pythagorean Theorem states:

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

Or

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

Where:

$a$ and $b$ are the legs of a right triangle.

$c$ is the hypotenuse of a right triangle.

Substituting for $a$ and $b$ and solving for $c$ gives:

$c = \sqrt{{8}^{2} + {15}^{2}}$

$c = \sqrt{64 + 225}$

$c = \sqrt{289}$

$17 \cdot 17 = 289$

Therefore:

$c = 17$