SOLUTION: The longer leg of a right triangle is 7m longer than the shorter leg. The hypotenuse is 9m longer than the shorter leg. Find the side lengths of the triangle.
Find the length o
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Question 1088554: The longer leg of a right triangle is 7m longer than the shorter leg. The hypotenuse is 9m longer than the shorter leg. Find the side lengths of the triangle.
Find the length of the shorter leg, find the length of longer leg and find the length of hypotenuse
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
56): The longer leg of a right triangle is 7m longer than the shorter leg. The hypotenuse is 9m longer than the shorter leg. Find the side lengths of the triangle.
Find the length of the shorter leg, find the length of longer leg and find the length of hypotenuse
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shorter leg length:: x
longer leg length:: x+7
hypotenuse length:: x+9
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Equation::
(x+7)^2 + x^2 = (x+9)^2
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x^2 + 14x + 49 + x^2 = x^2 + 18x + 81
----
x^2 - 4x - 32 = 0
----
(x-8)(x+4) = 0
Positive solution::
x = 8 (shorter)
x+7 = 15 (longer)
x+9 = 17 (hypotenuse)
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Cheers,
Stan H.
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