document.write( "Question 611934: The altitude of an equilateral triangle is 3root3, find its area? \n" ); document.write( "

Algebra.Com's Answer #385211 by nerdybill(7384) $\"\"$ $\"About$

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The altitude of an equilateral triangle is 3root3, find its area?
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\n" ); document.write( "First, find the length of the base:
\n" ); document.write( "Let b = length of base
\n" ); document.write( "then applying Pythagorean theorem:
\n" ); document.write( " $\"%28b%2F2%29%5E2+%2B+%283sqrt%283%29%29%5E2+=+b%5E2\"$
\n" ); document.write( " $\"b%5E2%2F4+%2B+%289%2A3%29+=+b%5E2\"$
\n" ); document.write( " $\"b%5E2%2F4+%2B+27+=+b%5E2\"$
\n" ); document.write( " $\"b%5E2+%2B+108+=+4b%5E2\"$
\n" ); document.write( " $\"108+=+3b%5E2\"$
\n" ); document.write( " $\"36+=+b%5E2\"$
\n" ); document.write( " $\"6+=+b\"$
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\n" ); document.write( "area of triangle is
\n" ); document.write( "(1/2)bh
\n" ); document.write( " $\"%281%2F2%29%286%29%283sqrt%283%29%29\"$
\n" ); document.write( " $\"%283%29%283sqrt%283%29%29\"$
\n" ); document.write( " $\"9sqrt%283%29%29\"$ square units\r
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