The length of the longer leg of a right triangle is 13 ft more than three times the length of the shorter leg. The length of the hypotenuse is 14 ft more than three times the length of the shorter leg. Find the side lengths of the triangle.

Answer 1

If the shorter leg is x, then we have
x^2 + (3x+13)^2 = (3x+14)^2
x^2 + 9x^2 + 78x + 169 = 9x^2 + 84x + 196
x^2 - 6x - 27 = 0
Now finish it off