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Question

The hypotenuse of a right triangle is 12 feet long. If one leg is 2 feet longer than the other leg, find the length of the longer leg to the nearest tenth.

The longer leg is about feet in length.

Answer 1

144 = L^2 + (L-2)^2 = L^2 + L^2 -4L +4

2L^2 -4L -140 = 0

L^2 -2L -70 = 0

L-2L +1 = 71

L-1 = sqr71

L =slightly more than 1+8.4=9.4 feet = longer side

L-2 =slightly more than 7.4 feet = shortest side

7.4^2 + 9.4^2 = 54.76 +88.36= 143.12