document.write( "Question 580595: What is the length of a side of an equilateral triangle whose altitude has a length of 20?
\n" ); document.write( "My answer is about 23, but I'm not sure if it is correct. Also, is it possible to put the answer is simplest radical form?\r
\n" ); document.write( "\n" ); document.write( "Please explain. Thank you!
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Algebra.Com's Answer #371292 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
With the altitude drawn, you have two 30-60-90
\n" ); document.write( "triangles. The altitude is opposite the
\n" ); document.write( "60 degree angle.
\n" ); document.write( "The ratio of the side of the equilateral to
\n" ); document.write( "the altitude is \"+2%2Fsqrt%283%29+\"
\n" ); document.write( "Call the side \"s\"
\n" ); document.write( "\"+2%2Fsqrt%283%29+=+s%2F20+\"
\n" ); document.write( "\"+2%2A20+=+s%2Asqrt%283%29+\"
\n" ); document.write( "\"+s+=+40%2Fsqrt%283%29+\"
\n" ); document.write( "\"+s+=+%2840%2Fsqrt%283%29%29%2A%28+sqrt%283%29%2Fsqrt%283%29+%29+\"
\n" ); document.write( "\"+s+=+%28+40%2Asqrt%283%29+%29%2F3+\"
\n" ); document.write( "and
\n" ); document.write( "\"+s+=+%2840%2A1.732%29%2F3+\"
\n" ); document.write( "\"+s+=+23.09+\"
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