document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=260259>Question 260259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve:\r<BR>\n" );
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document.write( "One side of a triangle is 4 cm shorter than the base, x. The other side is 6 cm longer than the base. What lengths of the base will allow the perimeter of the triangle to be at least 29 cm?  Use P = s1 + s2 + s3.\r<BR>\n" );
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document.write( "I must show the 5 steps for problem solving.\r<BR>\n" );
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document.write( "Thank you for your assistance!\r<BR>\n" );
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document.write( "Liz </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #191708 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=191708\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am not sure what 5 steps you use or your teacher wants, but here we go . . .<BR>\n" );
document.write( "LABELS: x = base, x-4 = one side, x+6 = second side. Perimeter = a + b + c.<BR>\n" );
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document.write( "VERBAL MODEL - the sum of the three sides must be greater than or equal to 26.<BR>\n" );
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document.write( "ALGEBRAIC MODEL - x + x-4+x+6 >= 26<BR>\n" );
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document.write( "SOLVE:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+x-4%2Bx%2B6+%3E=+26 ALIGN=MIDDLE  ALT=\"x+%2B+x-4%2Bx%2B6+%3E=+26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "combine like terms to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2+%3E=26 ALIGN=MIDDLE  ALT=\"3x%2B2+%3E=26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract to get<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%3E=24 ALIGN=MIDDLE  ALT=\"3x+%3E=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E=8 ALIGN=MIDDLE  ALT=\"x+%3E=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, <BR>\n" );
document.write( "x = 8,<BR>\n" );
document.write( "x-4 = 4<BR>\n" );
document.write( "x+6 = 14<BR>\n" );
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document.write( "However, these side length don't make a triangle. The first base value that does work is 11.<BR>\n" );
document.write( "x = 11<BR>\n" );
document.write( "x-4 = 7<BR>\n" );
document.write( "x+6 = 17<BR>\n" );
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document.write( "CHECK<BR>\n" );
document.write( "4+8+14 >= 26<BR>\n" );
document.write( "16>= 26 [true].<BR>\n" );
document.write( "However, these side length don't make a triangle.<BR>\n" );
document.write( "11+7+17 >= 26<BR>\n" );
document.write( "35>= 26 [true]<BR>\n" );
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document.write( "so you want 11, 7, 17 sides </SPAN>\n" );
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