# Using the Pythagorean Theorem, how do you find the length of side a given b = 11 , c = 17?

Feb 16, 2017

$a = 2 \sqrt{42} \approx 12.9614$

#### Explanation:

the Pythagorean Theorem formula is
${a}^{2} + {b}^{2} = {c}^{2}$

given $b = 11 , c = 17$

${a}^{2} + {\left(11\right)}^{2} = {\left(17\right)}^{2}$
${a}^{2} + 121 = 289$
${a}^{2} = 289 - 121 = 168$
$\sqrt{{a}^{2}} = \sqrt{168}$
$a = 2 \sqrt{42} \approx 12.9614$