Question 527470
The hypotenuse of a right triangle is 13 units. If the length of one leg is 2 more than twice the other, then what are their lengths?
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leg 1: x
leg 2: 2x+2
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Equation:
x^2 + (2x+2)^2 = 13^2
x^2 + 4x^2 + 8x + 4 = 169
5x^2 + 8x - 165 = 0
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Use the quadratic formula to solve:
x = 5
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leg 1: x = 5
leg 2: 2x+2 = 12
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Cheers,
Stan H.