SOLUTION: The legs of a right triangle have lengths (in units) x+2 and x+6. The hypotenuse has lengths (in units) 2x. Find the perimeter of the triangle. a) 26 units b) 30 units c) 38

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The legs of a right triangle have lengths (in units) x+2 and x+6. The hypotenuse has lengths (in units) 2x. Find the perimeter of the triangle. a) 26 units b) 30 units c) 38      Log On


   



Question 826056: The legs of a right triangle have lengths (in units) x+2 and x+6. The hypotenuse has lengths (in units) 2x. Find the perimeter of the triangle.
a) 26 units b) 30 units
c) 38 units d) 48 units

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
(x+2)^2+(x+6)^2=(2x)^2,
(x+2)+(x+6)+(2x)=y
x = 10, y = 48
d) 48 units
check
12^2+16^2=20^2
144+256=400
ok