Question 88049
Since we have a triangle with legs of 8 , x(our unknown side) and a hypotenuse of 12, we can use Pythagoreans theorem to find the unknown side.

Pythagoreans theorem
{{{a^2+b^2=c^2}}}


{{{8^2+x^2=12^2}}}  Plug in a=8, b=x and c=12 and lets solve for x

{{{6 4 +  x  ^ 2 = 1 4 4}}} Square each individual term




{{{ x  ^ 2 = 1 4 4 - 6 4}}} Subtract 64 from both sides



{{{ x  ^ 2 = 8 0}}} Combine like terms



{{{s q r t (  x  ^ 2 ) = s q r t ( 8 0 )}}} Take the square root of both sides



{{{x=4*sqrt(5)}}} Simplify the square root



Which approximates to...

{{{x = 8 . 9 4 4 2 7 1 9 0 9 9 9 9 1 6}}}


So our answer is

{{{x = 8 . 9 4 4 2 7 1 9 0 9 9 9 9 1 6}}}