# How do you use the Pythagorean Theorem to solve for the missing sides where c is the hypothenuse given a=11 m, c=15 m?

Jun 25, 2018

$a {b}^{2} = b {c}^{2} + c {a}^{2}$
but if c is hypotenuse then
$c {a}^{2} = a {b}^{2} - b {c}^{2}$

#### Explanation:

$c {a}^{2} = a {b}^{2} - b {c}^{2}$
$c {a}^{2} = {15}^{2} - {11}^{2}$
$c {a}^{2} = 225 - 121$
$104 = c {a}^{2}$
$\sqrt{104} = c a$
10.19803903 cm