document.write( "Question 959628: If an equilateral triangle has a height of 8.5 inches, how long is each side? Plus formula please \n" ); document.write( "
Algebra.Com's Answer #586548 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
The height cuts the equilateral triangle into two 30-60-90 special triangles.\r
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\n" ); document.write( "\n" ); document.write( "x, the side of the equilateral triangle.
\n" ); document.write( "\"x%5E2=%288.5%29%5E2%2B%28x%2F2%29%5E2\"----Pythagorean Theorem Relationship\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2=%281%2F4%29x%5E2%2B8.5%5E2\"
\n" ); document.write( "\"%283%2F4%29x%5E2=8.5%5E2\"
\n" ); document.write( "\"x%5E2=%288.5%5E2%29%2F%283%2F4%29\"
\n" ); document.write( "\"x%5E2=%284%2F3%29%2817%2F2%29%5E2\"
\n" ); document.write( "\"x=%282%2A17%29%2F%282%2Asqrt%283%29%29\"
\n" ); document.write( "\"highlight%28x=17%2Fsqrt%283%29%29\"------rationalize if you want.
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