SOLUTION: One leg of a right triangle is 9 centimeters longer than the other leg the hypotenuse is 45 centimeters. Find the lengths of the leg of the triangle.

Question 542963: One leg of a right triangle is 9 centimeters longer than the other leg the hypotenuse is 45 centimeters. Find the lengths of the leg of the triangle.
Answer by friesr(113) (Show Source): You can put this solution on YOUR website!
a^2 + b^2 = c^2
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x^2 + (x+9)^2 = 45^2
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x^2 + x^2+18x+81 = 45^2
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2x^2 + 18x + 81 = 45^2
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2x^2 + 18x - 1944 = 0
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2(x-27)(x+36)
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x= -36
x= 27
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now since a lenght cannot be a negative, the answer is 27
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check
27^2 + 36^2 = 45^2
2025= 2025
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