SOLUTION: The length of the longer leg of a right triangle is 13cm more than three times the length of the shorter leg. The length of the hypotenuse is 14cm more than three times the

Algebra ->  Triangles -> SOLUTION: The length of the longer leg of a right triangle is 13cm more than three times the length of the shorter leg. The length of the hypotenuse is 14cm more than three times the      Log On


   

Question 930505: The length of the longer leg of a right triangle is
13cm
more than three times the length of the shorter leg. The length of the hypotenuse is
14cm
more than three times the length of the shorter leg. Find the side lengths of the triangle.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
.
(3x + 13)^2 + x^2 = (3x+14)^2
3x^2 + 78x +169 + x^2 = 3x^2 + 84x + 196
x^2 - 6x - 27 = 0
(x+3)(x-9) = 0
x = 9
hypotenuse = 41
....checking...
40^2 + 9^2 = 41^2