the hypotenuse of a triangle is one foot more than twice the length of the shorter legal. the longer leg is seven feet longer than the shorter leg. find the dimensions of the triangle

8, 15, 17

You can do this by using the Pythagorean Theorem and setting the sides equal to

shorter leg = x
longer leg = x + 7
hypotenuse = 2x + 1

Then solve so that one side is equal to zero and use the quadratic formula.