# How do you find the length of the missing side given a=? b=13 c=24?

Jun 29, 2016

$a = \sqrt{407}$

#### Explanation:

Use the Pythagorean Theorem, if you're talking about right triangles:

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

We must find $a$ given $b$ and $c$. We know that $b$ is $13$ and $c$ is $24$, so we can plug those values into the formula.

${a}^{2} + {\left(13\right)}^{2} = \left({24}^{2}\right)$

${a}^{2} + 169 = 576$

${a}^{2} = 407$

$a = \sqrt{407}$