# How do you find the missing side c given 3ft 4ft using the pythagorean theorem?

Aug 27, 2017

See a solution process below:

#### Explanation:

The Pythagorean Theorem states:

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

Substituting the dimensions from problem for $a$ and $b$ and solving for $c$ gives:

${c}^{2} = {3}^{2} + {4}^{2}$

${c}^{2} = 9 + 16$

${c}^{2} = 25$

$\sqrt{{c}^{2}} = \sqrt{25}$

$c = 5$