SOLUTION: One leg of a right triangle is two meters longer than twice the length of the other leg. The hypotenuse is eight meters longer than the shorter of the two legs. What is the perimet

Algebra ->  Pythagorean-theorem -> SOLUTION: One leg of a right triangle is two meters longer than twice the length of the other leg. The hypotenuse is eight meters longer than the shorter of the two legs. What is the perimet      Log On


   

Question 262988: One leg of a right triangle is two meters longer than twice the length of the other leg. The hypotenuse is eight meters longer than the shorter of the two legs. What is the perimeter of the triangle, in meters?
Answer by mananth(16946) About Me  (Show Source):
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One leg of a right triangle is two meters longer than twice the length of the other leg. The hypotenuse is eight meters longer than the shorter of the two legs. What is the perimeter of the triangle, in meters?
Let one leg be x
The other leg = 2x+2
Hyp= x+8
X^2 + (2x+2)^2 = (x+8)^2
X^2 + 4x^2 + 8x+4 = x^2 +16x+64
4x^2-8x-60=0
4x^2-20x+12x-60=0
4x(x-5)+12(x-5)=0
(x-5)(4x+12)=0
So x=5 because x cant be negative value.
Other leg = 12
Hyp= 13
The sides are 5 and 12 and the hyp = 13