SOLUTION: In a right triangle, the longer leg is 7 inches more than the shorter leg, and the hypotenuse is 3 more than twice the length of the shorter leg. Determine the length of the short

Algebra ->  Pythagorean-theorem -> SOLUTION: In a right triangle, the longer leg is 7 inches more than the shorter leg, and the hypotenuse is 3 more than twice the length of the shorter leg. Determine the length of the short      Log On


   

Question 1145838: In a right triangle, the longer leg is 7 inches more than the shorter leg, and the hypotenuse is 3 more than twice the length of the shorter leg. Determine the length of the shorter leg.
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
x, the shorter leg

x+7, the longer leg

2x+3, the hypotenuse

x%5E2%2B%28x%2B7%29%5E2=%282x%2B3%29%5E2
Simplify and solve this.