# How do you find the missing side of each right triangle. Side c is the hypotenuse and Sides a and b are the legs, a=11m, c=15m?

Nov 17, 2016

The missing side has a length of 10.2m rounded to the nearest 10th.

#### Explanation:

The Pythagorean Theorem states for a right triangle as given:

${a}^{2} + {b}^{2} = {c}^{2}$ where $a$ and $b$ are the sides and $c$ is the hypotenuse.

In this problem $a$ and $c$ have been provided so we can substitute for these and solve for $b$ while keeping the equation balanced:

${11}^{2} + {b}^{2} = {15}^{2}$

$121 + {b}^{2} = 225$

$121 + {b}^{2} - 121 = 225 - 121$

${b}^{2} = 104$

$\sqrt{{b}^{2}} = \sqrt{104}$

$b = 10.2$ rounded to the nearest 10th.