Question 11744
Is this a right triangle?  Assuming that it is a RIGHT triangle, where c is the hypotenuse, and a and b are legs, 
{{{a^2 + b^2 = c^2}}}, where in this case, the hypotenuse is the longest, which is the unknown, and a and b are 8 and 12 respectively.


{{{8^2 + 12^2 = c^2}}}
{{{ 64 + 144 = c^2}}}
{{{208 = c^2}}}
{{{ c= sqrt(208))}}} or {{{c= -sqrt(208)}}}


c is the side of a triangle and therefore cannot be negative.
{{{ c= sqrt(208)}}} = {{{sqrt(16)*sqrt(13) = 4*sqrt(13)}}}feet


You might want to calculate this and round to nearest hundredth:
{{{sqrt(208)=14.42}}} feet


R^2 at SCC