SOLUTION: One leg of a right triangle is 2 cm longer than the other leg, and the hypotenuse is 3 cm longer than the shorter leg. Find all sides of the triangle

Algebra ->  Pythagorean-theorem -> SOLUTION: One leg of a right triangle is 2 cm longer than the other leg, and the hypotenuse is 3 cm longer than the shorter leg. Find all sides of the triangle       Log On


   

Question 962684: One leg of a right triangle is 2 cm longer than the other leg, and the hypotenuse is 3 cm longer than the shorter leg. Find all sides of the triangle
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
length of shorter leg = x

x^2 + (x+2)^2 = (x+3)^2
x^2 - 2x - 5 = 0

shorter leg = x = 1 + sqrt(6)
longer leg = x+2 = 3 + sqrt(6)
hypotenuse = x+3 = 4 + sqrt(6)