document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138703>Question 138703</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 9 cm and a second side that is 3 cm less than twice the third side, what are the possible lengths for the second and third sides? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101231 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=101231\">put this solution on YOUR website!</A><BR><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 9 cm and a second side that is 3 cm less than twice the third side, what are the possible lengths for the second and third sides?<BR>\n" );
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document.write( "Given side  DISABLED_event_one=  9 cm<BR>\n" );
document.write( "Let x = third side<BR>\n" );
document.write( "side two = (2x-3)<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.\"<BR>\n" );
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document.write( "Side two less than sides 3 + 1<BR>\n" );
document.write( "(2x - 3) < x + 9<BR>\n" );
document.write( "2x - x < 9 + 3<BR>\n" );
document.write( "x < 12<BR>\n" );
document.write( "and<BR>\n" );
document.write( "Side two + side 3 greater than side 1<BR>\n" );
document.write( "(2x-3) + x > 9<BR>\n" );
document.write( "3x > 9 + 3<BR>\n" );
document.write( "3x > 12<BR>\n" );
document.write( "x > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F3 ALIGN=MIDDLE  ALT=\"12%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x > 4<BR>\n" );
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document.write( "\"what are the possible lengths for the second and third sides?\"<BR>\n" );
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document.write( "Using integers<BR>\n" );
document.write( "x > 4 to x < 12<BR>\n" );
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document.write( "the 3rd & 2nd sides would be:<BR>\n" );
document.write( " x |(2x-3)<BR>\n" );
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document.write( " 11, 19<BR>\n" );
document.write( " 10, 17<BR>\n" );
document.write( "  9, 15<BR>\n" );
document.write( "  8, 13<BR>\n" );
document.write( "  7, 11<BR>\n" );
document.write( "  6, 9<BR>\n" );
document.write( "  5, 7\r<BR>\n" );
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document.write( "  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );