document.write( "Question 1168084: Equilateral triangle ABC has point E on altitude AD, 1/3 of the distance from D to A. If each side of the triangle is 3 cm, the sum of the perpendiculars from E to the sides of the triangles is, in cm
\n" ); document.write( "A) 2 √ 3 /3
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\n" ); document.write( "E) 2 √ 3\r
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Algebra.Com's Answer #792683 by ikleyn(52800) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "For any equilateral triangle with the side length \"a\"   \r\n" );
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document.write( "   |   for any point inside the triangle, the sum of the distances             |\r\n" );
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document.write( "   |    from the point to the sides of the triangle is a constant value        |\r\n" );
document.write( "   |    equal to the length of the triangle altitude, i.e. .            |\r\n" );
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document.write( "It is easy to prove considering the areas of participating triangles.\r\n" );
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document.write( "In your case, with the side length a = 3 cm,  the answer is (and should be)\r\n" );
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document.write( "    the sum of distances from the point to the sides of the triangle\r\n" );
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document.write( "            is    cm.\r\n" );
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\n" ); document.write( "\n" ); document.write( "But this answer is not in the list of optional answers in your post.\r
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\n" ); document.write( "\n" ); document.write( " Therefore, the posted problem is a FAKE.\r
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\n" ); document.write( "\n" ); document.write( "My conclusion is that EITHER the person who created/composed this problem is UNPROFESSIONAL,\r
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\n" ); document.write( "\n" ); document.write( "OR the source for this problem is untruthful, OR BOTH.\r
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\n" ); document.write( "\n" ); document.write( "I am open to accept your \"THANKS\" for my teaching.\r
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\n" ); document.write( "\n" ); document.write( "Please do not post your anathemas to me for pointing your errors.\r
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