Question 987535
{{{a^2 + b^2 = c^2}}} Start with the pythagorean theorem



{{{(sqrt(71))^2 + (sqrt(71))^2 = c^2}}} Plug in the given leg measurements



{{{71 + 71 = c^2}}} Square the square roots. 



{{{142 = c^2}}}



{{{c^2=142}}}



{{{sqrt(c^2)=sqrt(142)}}} Apply the square root to both sides



{{{c=sqrt(142)}}}



{{{c=11.916375287813}}} Use a calculator



{{{c=12}}} Round to the nearest whole number



The hypotenuse is approximately 12 feet long