document.write( "Question 1106412: Equilateral triangle ABC has altitude AD. Median AE of triangle ABD is drawn. If the area of triangle AEC is $\"+27%2A+sqrt%28+3+%29+\"$ cm^2, what is the side length AB, in cm? \n" ); document.write( "

Algebra.Com's Answer #721389 by Edwin McCravy(20065) $\"\"$ $\"About$

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document.write( "Let BE = ED = x.  Then\r\n" );
document.write( "BD = 2x = DC.  Then\r\n" );
document.write( "BC = 4x = AB\r\n" );
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document.write( "By using the Pythagorean theorem on right triangle ADC,\r\n" );
document.write( "AD = \r\n" );
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document.write( "EC = ED + DC = x + 2x = 3x\r\n" );
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document.write( "Area of triangle AEC = \r\n" );
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document.write( "Since the area of triangle AEC = , we have\r\n" );
document.write( "the equation:\r\n" );
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document.write( "Divide both sides by \r\n" );
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document.write( "So AB = 4x = 4(3) = 12\r\n" );
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document.write( "Edwin\r
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