Question 198711: The hypotenuse of a right triangle is 2cm more than the longer leg, while the longer leg is itself 2cm more than the shorter leg. Find the length of the hypotenuse. Answer by solver91311(18785) (Show Source):
Let represent the measure of the longer leg, then is the measure of the hypotenuse and is the measure of the short leg
If we can believe our good friend Pythagoras,
Square both binomials and collect like terms and then solve the very simple resulting quadratic. One of the roots won't make any sense, so toss it. The other root is the measure of the long side. Add 2 to get the hypotenuse.