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OpenStudy (anonymous):
what is the value of the shorter and longer leg of a 30-60-90 triangle with a hypothenuse of 12* square root of 3?
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OpenStudy (mathstudent55):
|dw:1354057920426:dw| The figure shows a 30-60-90 triangles and the ratio of the sides which is: short leg : long leg : hypotenuse 1 : sqrt (3) : 2 In your case the hypotenuse is 12 sqrt(3). Since that is 12 times larger than the hypotenuse in the ratio above, just multiply everything by 12.
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