The leght of one of a right triangle is 8ft. Theleght of the hypotenuse is 2 feet longer than the other leg. Find the legth of the hypotenuse and the other leg.
The legth of the hypotenuse is ____ft
The leght of the other leg is ____ ft
Let L be the other leg length...and we have
8^2 + L^2 = (L + 2)^2 simplify
8^2 + L^2 = L^2 + 4L + 4 subtract L^2 from both sides
64 = 4L + 4 subtract 4 from both sides
60 = 4L divide both sides by 4
15 ft = L and the hypotenuse is L + 2 = 17 ft