SOLUTION: Find the length of the longest leg of a 30-60-90 triangle if the hypotenuse is 6 square root of 3.

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Question 1105448: Find the length of the longest leg of a 30-60-90 triangle if the hypotenuse is 6 square root of 3.
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the length of the longest leg of a 30-60-90 triangle if the hypotenuse is 6sqrt(3).
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Longest leg = hyp*cos(30)

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You already know it is special right triangle 30-60-90 type. Hypotenuse is twice the size of the short leg. If you know nothing else, then at least you know short leg is 3*sqrt(3). Pythagorean Theorem will get you the long leg.

y, long leg
y%5E2%2B%283sqrt%283%29%29%5E2=%286%2Asqrt%283%29%29%5E2