MATH!!!!!!!

Question

_{The hypotenuse of a right triangle is twice the length of one of the legs. The length of the other leg is √243 feet. Find the lengths of the leg and hypoten}

Answer 1

Let c be the hypotenuse and a and b be the sides (1) c^2 = a^2 + b^2 (2) c = 2a b^2 = 243 substituting eq (2) in to eq (1) (2a)^2 = a^2 + b^2 = a^2 + 243 4a^2 - a^2 = 243 3a^2 = 243 a^2 =81 a = 9 b = √243 = 15.59 c = 18