We use Pitagorean equation to find the hypotenuse which is the longest side of the triangle. [tex]a {}^{2} + b {}^{2} = c {}^{2} [/tex] [tex]a = 31 - 16 [/tex] This is to find the lenght of the base of the triangle. [tex]a = 15[/tex]
[tex]{15}^{2} + {20}^{2} = {c}^{2} [/tex] [tex]225 + 400 = {c}^{2} [/tex] [tex]625 = {c}^{2} [/tex] Now we need to eliminate that c squared to get the length of the hypotenuse. And we do that by taking the square root of both side of the equation. [tex] \sqrt{625} = \sqrt{ {c}^{2} } \\ c = 25[/tex]
