document.write( "Question 319824: A circle is inscribed in an equilateral triangle, the radius of the circle is 6 cm. Find the area of the triangle. \n" ); document.write( "

Algebra.Com's Answer #229858 by Fombitz(32388) $\"\"$ $\"About$

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The apothem of the triangle is equal to the radius of the inscribed circle and related to the side, $\"s\"$ , by,
\n" ); document.write( " $\"ap=%28sqrt%283%29%2As%29%2F6=6\"$
\n" ); document.write( " $\"s=36%2Fsqrt%283%29\"$
\n" ); document.write( "The area of the triangle is
\n" ); document.write( " $\"A=%28sqrt%283%29%2F4%29%2As%5E2\"$
\n" ); document.write( " $\"A=%28sqrt%283%29%2F4%29%2A%2836%2Fsqrt%283%29%29%5E2\"$
\n" ); document.write( " $\"A=108sqrt%283%29\"$ cm^2 \n" ); document.write( "

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