document.write( "Question 368300: equilateral triangle with median that measure 5 meters \n" ); document.write( "

Algebra.Com's Answer #262435 by robertb(5830) $\"\"$ $\"About$

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Let x = be the side of the equilateral triangle. Then by a direct use of the Pythagorean theorem, $\"5%5E2+%2B+%28x%2F2%29%5E2+=+x%5E2\"$ .
\n" ); document.write( " $\"25+%2B+x%5E2%2F4+=+x%5E2\"$ ,
\n" ); document.write( " $\"25+=+3x%5E2%2F4\"$ ,
\n" ); document.write( " $\"x%5E2+=+100%2F3\"$ ,
\n" ); document.write( " $\"x+=+10%2Fsqrt%283%29\"$ meters. \n" ); document.write( "

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