Hi
one leg is 14ft longer than the other leg
Let x and (x+14) represent the lengths of the legs
Applying the Pytahgorean Theore,
x^2 + (x+14ft)^2 = (34ft)^2
solving for x
2x^2 + 28x + 196 = 1156
2x^2 + 28x - 960 = 0
x^2 + 14z - 480 = 0
x = -30 and x = 16 |tossing out negative solution: x = 16
the lengths of the leg are 16ft and 30ft (16ft + 14ft)