# Using the Pythagorean Theorem, how do you find the length of hypotenuse C given that side A = 4 and side B = 6?

Mar 12, 2016

Side C is $2 \sqrt{13}$
${a}^{2} + {b}^{2} = {c}^{2}$
${4}^{2} + {6}^{2} = {c}^{2}$
$16 + 36 = {c}^{2}$
${c}^{2} = 52$
$c = \sqrt{52}$ = $\sqrt{\left(4\right) \left(13\right)}$
$c = 2 \sqrt{13}$