Question

He hypotenuse of a right triangle is three times the length of one of the legs. the length of the other leg is 648‾‾‾‾√648 feet. find the lengths of the leg and hypotenuse.

Answer 1

Let length of the hypotenuse = 3x and length of given leg be x feet.

then (3x)^2 = x^2 + 648
8x^2 = 648
x^2 = 81


so x = 9 and 3x = 27

Hypotenuse is 27 feet and the leg equals 9 feet.