document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1149586>Question 1149586</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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 24cm, find the length of the longer of the line segments.  </SPAN>\n" );
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document.write( "Each of the line segments parallel to one side of the triangle, along with portions of the other two sides, forms a triangle that is similar to the whole triangle.<br><BR>\n" );
document.write( "The triangle formed by the longest of those parallel line segments has an area 5/6 of the area of the original.  That is, the ratio of the areas is 5:6.<br><BR>\n" );
document.write( "In any two similar figures, if the ratio of the areas is A:B, then the ratio of similarity is sqrt(A):sqrt(B).  So in this problem the ratio of similarity is sqrt(5):sqrt(6).<br><BR>\n" );
document.write( "And so the length of the longest of the line segments parallel to the side with length 24 is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2A%28sqrt%285%29%2Fsqrt%286%29%29 ALIGN=MIDDLE  ALT=\"24%2A%28sqrt%285%29%2Fsqrt%286%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Convert that to another form if required.<br><BR>\n" );
document.write( " </SPAN>\n" );
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