document.write( "Question 1148359: The area of a triangle is divided into 6 equal parts by line segments parallel to one side. If the length of that side is 32 cm, find the length of the longest line segment inside the triangle, in cm. \n" ); document.write( "
Algebra.Com's Answer #769735 by ikleyn(52787)\"\" \"About 
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document.write( "If the area of the triangle is divided by these parallel segments in 6 equal parts,\r\n" );
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document.write( "then the ratio of areas of the largest triangle to the preceding triangle is  \"6%2F5\".\r\n" );
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document.write( "If \" k \" is the similarity coefficient of the preceding triangle to the largest (original) triangle, then\r\n" );
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document.write( "    \"k%5E2\" = \"5%2F6\";\r\n" );
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document.write( "hence,  k = \"sqrt%285%2F6%29\".\r\n" );
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document.write( "It implies that the length of the segment under the question is  \"sqrt%285%2F6%29%2A32\" cm.    ANSWER\r\n" );
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