Answer:
17 feet
Step-by-step explanation:
Let x represent the shorter leg of the triangle. Then the longer leg is (2x-1) and the area is ...
A = (1/2)bh = (1/2)(x)(2x-1) = 60
2x^2 -x = 120 . . . . multiply by 2 and simplify
2x^2 -x -120 = 0 . . . . subtract 120
(x -8)(2x +15) = 0 . . . . factor. The positive solution is x=8.
The square of the hypotenuse is ...
hypotenuse^2 = x^2 + (2x -1)^2 = 8^2 + 15^2 = 289
hypotenuse = √289 = 17
The length of the hypotenuse is 17 feet.
