SOLUTION: the hypotenuse of a right triangle is 3 less than twice the shorter keg. the longer leg is 3 more than the shorter leg. find the 3 sides of the triangle

Question 486209: the hypotenuse of a right triangle is 3 less than twice the shorter keg. the longer leg is 3 more than the shorter leg. find the 3 sides of the triangle

Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
Let x = shorter leg
x^2 + (x +3)^2 = (2x - 3)^2
x^2 + x^2 + 6x + 9 = 4x^2 -12x +9
0 = 2x^2 -18x
0 = 2x(x - 9)
x = 9; this is the shorter leg.
12 is the longer leg.
15 is the hypotenuse.
9^2 + 12^2 = 15^2
81 + 144 = 225.
This does check.
Cleomenius.

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