SOLUTION: What is the length of the longer leg of a 30-60-90 triangle with a hypotenuse of length of 16{sqrt(6)}?
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Question 294634: What is the length of the longer leg of a 30-60-90 triangle with a hypotenuse of length of 16{sqrt(6)}?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
In a 30 60 90 triangle
the hypotenuse is 2x
the shorter leg 1x
and the longer leg sqrt(3)*x
16*sqrt(6)/2=8sqrt(6)=x
multiply x by sqrt(3)
8sqrt(6)*sqrt(3)
24sqrt(2)
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