SOLUTION: the longest side on a right triangle is 10 ft longer than two times the lenght of the shortest side. The other side of the triangle is 10 ft shorter than two times the length of th

Algebra ->  Pythagorean-theorem -> SOLUTION: the longest side on a right triangle is 10 ft longer than two times the lenght of the shortest side. The other side of the triangle is 10 ft shorter than two times the length of th      Log On


   

Question 1003480: the longest side on a right triangle is 10 ft longer than two times the lenght of the shortest side. The other side of the triangle is 10 ft shorter than two times the length of the shortest side. find the lengths of the sides of the triangle
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
shorter leg = x
longer leg = 2x - 10
hypotenuse = 2x + 10

x^2 + (2x - 10)^2 = (2x + 10)^2
x^2 + 4x^2 - 40x + 100 = 4x^2 + 40x + 100
x^2 - 80x = 0
x = 80

sides: 80, 150, 170