SOLUTION: How many right triangles have a hypotenuse that measures 2x+3 meters and legs that measure 2x-5 meters and x+7 meters? What are the dimensions of the triangle(s)?

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Question 823049: How many right triangles have a hypotenuse that measures 2x+3 meters and legs that measure 2x-5 meters and x+7 meters? What are the dimensions of the triangle(s)?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
(2x+3)^2 = (2x-5)^2 +( x+7)^2
4x^2+12 x+9 = 5 x^2-6 x+74
x^2-18 x+65 = 0
(x-5)*(x-13)
x=5 x=13
13^2=5^2 +12^2
29^2=21^2+20^2