document.write( "Question 1107310: The area of a triangle with base 24 cm is trisected by two segments parallel to the base. What is the length of the longer of these segments? \n" ); document.write( "
Algebra.Com's Answer #722346 by ikleyn(52788)\"\" \"About 
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document.write( "Since the area of the original triangle was trisected, you have\r\n" );
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document.write( "    - the smallest triangle of the area of \"%281%2F3%29%2AS\", where S is the area of the original triangle,  and\r\n" );
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document.write( "    - the middle triangle with the area of \"%282%2F3%29%2AS\".\r\n" );
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document.write( "The three triangles are similar.  The ratio of the areas of the middle to the original is \"2%2F3\".\r\n" );
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document.write( "Hence, the ratio of their linear elements is  \"sqrt%282%2F3%29\".\r\n" );
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document.write( "It means that the length under the question is  \"24%2Asqrt%282%2F3%29\"  cm.\r\n" );
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