document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=462310>Question 462310</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 16cm and the second side that is 2 cm less than twice the third side, what are the possible lengths for the second and third side? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316936 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=316936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Given side  DISABLED_event_one=  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+cm ALIGN=MIDDLE  ALT=\"16+cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = third side\r<BR>\n" );
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document.write( "side two = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-2cm%29 ALIGN=MIDDLE  ALT=\"%282x-2cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The equations of the statement:<BR>\n" );
document.write( "\"The sum of the lengths of any two sides of a triangle must be greater than the third side.\"\r<BR>\n" );
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document.write( "Side two less than sides 3 + 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-+2cm+%3C+x+%2B+16cm ALIGN=MIDDLE  ALT=\"2x+-+2cm+%3C+x+%2B+16cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-+x+%3C+2cm+%2B+16cm ALIGN=MIDDLE  ALT=\"2x+-+x+%3C+2cm+%2B+16cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+18cm ALIGN=MIDDLE  ALT=\"x+%3C+18cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "side two + side 3 greater than side 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-2cm%29+%2B+x+%3E+16cm ALIGN=MIDDLE  ALT=\"%282x-2cm%29+%2B+x+%3E+16cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2cm%3E+16cm ALIGN=MIDDLE  ALT=\"3x-2cm%3E+16cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%3E+16cm%2B2cm ALIGN=MIDDLE  ALT=\"3x%3E+16cm%2B2cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%3E+18cm ALIGN=MIDDLE  ALT=\"3x%3E+18cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E+6cm ALIGN=MIDDLE  ALT=\"x%3E+6cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "\"what are the possible lengths for the second and third sides?\"\r<BR>\n" );
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document.write( "Using integers\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+%3C+x+%3C+18 ALIGN=MIDDLE  ALT=\"+6+%3C+x+%3C+18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the 3rd & 2nd sides would be:\r<BR>\n" );
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document.write( " x |(2x-2)<BR>\n" );
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document.write( " 7 |12<BR>\n" );
document.write( " 8 |14<BR>\n" );
document.write( "  9 | 16<BR>\n" );
document.write( "  10|18<BR>\n" );
document.write( "  11| 20<BR>\n" );
document.write( " 12|22<BR>\n" );
document.write( "  13| 24<BR>\n" );
document.write( "15|28<BR>\n" );
document.write( "16|30<BR>\n" );
document.write( "17|32\r<BR>\n" );
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document.write( " </SPAN>\n" );
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