SOLUTION: 2 legs of a right triangle are in the ratio of 5:6. The hypotenuse is 61. If the longer leg is doubled amd the shorter leg does not change, what is the length of the hypotenuse ?

Question 921773: 2 legs of a right triangle are in the ratio of 5:6. The hypotenuse is 61. If the longer leg is doubled amd the shorter leg does not change, what is the length of the hypotenuse ?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2 legs of a right triangle are in the ratio of 5:6. The hypotenuse is 61. If the longer leg is doubled amd the shorter leg does not change, what is the length of the hypotenuse ?
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5:6 is the same sa 5x:6x
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(5x)^2 + (6x)^2 = 61^2
25x^2 + 36x^2 = 61^2
61x^2 = 61^2
x = 1
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shorter leg = 5
longer leg = 6
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New dimensions:
loger leg = 12
shorter leg = 5
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Equation:
h^2 = 5^2 + 12^2
h^2 = 169
hypotenuse = 13
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Cheers,
Stan H.
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