document.write( "Question 1209435: Equilateral triangle ABC with sides of 1cm has altitude AD. median AE of triangle ABD is drawn. What is the area, in cm^2, of triangle AEC? \n" ); document.write( "
Algebra.Com's Answer #848822 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "Equilateral triangle ABC with sides of 1cm has altitude AD. median AE
\n" ); document.write( "of triangle ABD is drawn. What is the area, in cm^2, of triangle AEC?
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document.write( "The area of the triangle ABC is  \"a%5E2%2A%28sqrt%283%29%2F4%29\" = \"sqrt%283%29%2F4\" cm^2.\r\n" );
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document.write( "Every student, who studied the areas of triangles and the areas of equilateral\r\n" );
document.write( "triangles, must know it, so I will not go in further explanations.\r\n" );
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document.write( "Next, when we draw altitude AD, we cut the area of triangle ABC in two equal half.\r\n" );
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document.write( "When we draw median AE in triangle ABD, we cut the area of triangle ABD in two equal parts.\r\n" );
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document.write( "Thus finally, the area of triangle AEC is  1 - \"1%2F4\" = \"3%2F4\"  of the area of triangle ABC, i.e.  \"%283%2Asqrt%283%29%29%2F16\"  cm^2.\r\n" );
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document.write( "ANSWER.  The area of triangle AEC is  \"%283%2Asqrt%283%29%29%2F16\" cm^2.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Actually, this problem is for / (or is from) mathematical mental competition,
\n" ); document.write( "where the answer should be given in the next instance to win.\r
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\n" ); document.write( "\n" ); document.write( "I am absolutely serious: the true meaning of this question is that
\n" ); document.write( "it should be answered mentally quicker than you blink your eye.\r
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