document.write( "Question 1160966: The sides of a triangle are in the ration 1:2:1. The perimeter of a triangle is 125cm. Fid the length of each side of the triangle. \n" ); document.write( "
Algebra.Com's Answer #784382 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "This is a trick question, because if the sides are in that ratio then the sum of\r\n" );
document.write( "the two shorter sides would add up to equal to the longest sides and there could\r\n" );
document.write( "be no such triangle.\r\n" );
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document.write( "But maybe the problem includes \"degenerate triangles\", triangles that contain 180°\r\n" );
document.write( "angles and 0° angles, which degenerate into a line segment.  \r\n" );
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document.write( "Then 1:2:1 = 1k:2k:1k where the sides are 1k, 2k and 1k, then\r\n" );
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document.write( "Perimeter = 1k+2k+1k = 125\r\n" );
document.write( "                  4k = 125\r\n" );
document.write( "                   k = 31.25\r\n" );
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document.write( "The sides would be 31.25, 62.5 and 31.25  That would amount to a line segment\r\n" );
document.write( "62.5 cm long.  So for the perimeter to be 125 cm, you would have to consider it\r\n" );
document.write( "a double line segment, where one half of it coincides with the other half of it.\r\n" );
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document.write( "Heck, I'd just say \"There is no such triangle\", and forget \"degenerate triangles\".  \r\n" );
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document.write( "Edwin
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