document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=234188>Question 234188</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given two sides with lengths 34 and 14, which of these lengths would NOT work for the third side of a triangle? 18, 34, 44, 22, 40 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172735 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=172735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given two sides with lengths 34 and 14, which of these lengths would NOT work for the third side of a triangle? 18, 34, 44, 22, 40\r<BR>\n" );
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document.write( "The length that will not work is 18\r<BR>\n" );
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document.write( "This is because for any triangle, its 3rd side MUST be less than the sum of its other 2 sides, but greater than their difference. \r<BR>\n" );
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document.write( "Now, since the sum of 2 of its sides is 48 (34 + 14), and the difference of its 2 sides is 20 (34 - 14), it follows that 3rd side should be less than 48, but greater than 20. This means that 18 WILL NOT WORK!\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2820+%3C+_3rd_side_+%3C++48%29 ALIGN=MIDDLE  ALT=\"highlight_green%2820+%3C+_3rd_side_+%3C++48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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