Using the Pythagorean Theorem, how do you find the length of side B given that side A = 10 and hypotenuse C = 26?

Apr 11, 2016

B = 24

Explanation:

Using$\textcolor{b l u e}{\text{ Pythagoras' theorem " " in this triangle }}$

C is the hypotenuse hence : ${C}^{2} = {A}^{2} + {B}^{2}$

$\Rightarrow {26}^{2} = {10}^{2} + {B}^{2}$

$\Rightarrow {B}^{2} = {26}^{2} - {10}^{2} = 676 - 100 = 576$

now ${B}^{2} = 576 \Rightarrow B = \sqrt{576} = 24$