SOLUTION: equilateral triangle with median that measure 5 meters

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Question 368300: equilateral triangle with median that measure 5 meters
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = be the side of the equilateral triangle. Then by a direct use of the Pythagorean theorem, 5%5E2+%2B+%28x%2F2%29%5E2+=+x%5E2.
25+%2B+x%5E2%2F4+=+x%5E2,
25+=+3x%5E2%2F4,
x%5E2+=+100%2F3,
x+=+10%2Fsqrt%283%29 meters.