SOLUTION: Given a 30-60-90 triangle. The length of the longer leg is 4root2. What is the length of the hypotenuse and the length of the shorter leg.

Algebra ->  Length-and-distance -> SOLUTION: Given a 30-60-90 triangle. The length of the longer leg is 4root2. What is the length of the hypotenuse and the length of the shorter leg.      Log On


   

Question 1150765: Given a 30-60-90 triangle. The length of the longer leg is 4root2. What is the length of the hypotenuse and the length of the shorter leg.
Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
Longer leg = 4sqrt%282%29

Shorter leg = 4sqrt%282%29%2Fsqrt%283%29 = %284sqrt%282%29%2Fsqrt%283%29%29+%2A+%28sqrt%283%29%2Fsqrt%283%29%29 = 4sqrt%286%29%2F3

Hypotenuse = %282%2F1%29%2A%284sqrt%286%29%2F3%29 = 8sqrt%286%29%2F3

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Check it:

%284sqrt%282%29%29%5E2+%2B+%284sqrt%286%29%2F3%29%5E2+=+%288sqrt%286%29%2F3%29%5E2 --> 16%2A2+%2B+%2816%2A6%29%2F9+=+%2864%2A6%29%2F9 --> 32+%2B+96%2F9+=+384%2F9 --> 288%2F9+%2B+96%2F9+=+384%2F9 --> 384%2F9+=+384%2F9