SOLUTION: the longer leg of a right triangle is 1 inch longer than the shorter leg. the hypotenuse is 9 inches longer than the shorter leg. find the side lengths of the triangle.

Algebra ->  Pythagorean-theorem -> SOLUTION: the longer leg of a right triangle is 1 inch longer than the shorter leg. the hypotenuse is 9 inches longer than the shorter leg. find the side lengths of the triangle.      Log On


   

Question 1070632: the longer leg of a right triangle is 1 inch longer than the shorter leg. the hypotenuse is 9 inches longer than the shorter leg. find the side lengths of the triangle.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the longer leg of a right triangle is 1 inch longer than the shorter leg. the hypotenuse is 9 inches longer than the shorter leg. find the side lengths of the triangle.
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shorter leg:: x
longer leg:: x+1
hypotenuse:: x+9
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x^2 + (x+1)^2 = (x+9)^2
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x^2 + x^2+2x+1 = x^2 + 18x + 81
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x^2-16x-80 = 0
(x-20)(x+4) = 0
Positive solution:
x = 20 in (shorter)
x+1 = 21 in (longer)
x+9 = 29 in (hypotenuse)
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Cheers,
Stan H.
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