document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=812756>Question 812756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The lengths of the sides of a triangle are three consecutive even integers. Find the length of the longest side if it is 22 units shorter than the perimeter.\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489336 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=489336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=perimeter-22 ALIGN=MIDDLE  ALT=\"x=perimeter-22\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of the longer side,<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B22=perimeter ALIGN=MIDDLE  ALT=\"x%2B22=perimeter\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Since consecutive even integers are 2 units apart,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2 ALIGN=MIDDLE  ALT=\"x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of the medium-length side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-4 ALIGN=MIDDLE  ALT=\"x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of the shortest side<BR>\n" );
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document.write( "The perimeter is the sum of the side lengths, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%28x-2%29%2B%28x-4%29=x%2B22 ALIGN=MIDDLE  ALT=\"x%2B%28x-2%29%2B%28x-4%29=x%2B22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That is our equation.<BR>\n" );
document.write( "I will work on that equation in lots of baby steps,<BR>\n" );
document.write( "just in case you want to see all those steps.<BR>\n" );
document.write( "You probably want to use less steps,<BR>\n" );
document.write( "and your teacher probably does not expect or want to see too many steps.<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%28x-2%29%2B%28x-4%29=x%2B22 ALIGN=MIDDLE  ALT=\"x%2B%28x-2%29%2B%28x-4%29=x%2B22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bx-2%2Bx-4=x%2B22 ALIGN=MIDDLE  ALT=\"x%2Bx-2%2Bx-4=x%2B22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bx%2Bx-2-4=x%2B22 ALIGN=MIDDLE  ALT=\"x%2Bx%2Bx-2-4=x%2B22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Adding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides of the equal sign, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bx%2Bx-2-4%2B6=x%2B22%2B6 ALIGN=MIDDLE  ALT=\"x%2Bx%2Bx-2-4%2B6=x%2B22%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bx%2Bx%2B6-2-4=x%2B28 ALIGN=MIDDLE  ALT=\"x%2Bx%2Bx%2B6-2-4=x%2B28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Bx%2Bx%29%2B%286-2-4%29=x%2B28 ALIGN=MIDDLE  ALT=\"%28x%2Bx%2Bx%29%2B%286-2-4%29=x%2B28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B0=x%2B28 ALIGN=MIDDLE  ALT=\"3x%2B0=x%2B28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=x%2B28 ALIGN=MIDDLE  ALT=\"3x=x%2B28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-x=x%2B28-x ALIGN=MIDDLE  ALT=\"3x-x=x%2B28-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-x=28%2Bx-x ALIGN=MIDDLE  ALT=\"3x-x=28%2Bx-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=28%2B%28x-x%29 ALIGN=MIDDLE  ALT=\"2x=28%2B%28x-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=28 ALIGN=MIDDLE  ALT=\"2x=28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2F2=28%2F2 ALIGN=MIDDLE  ALT=\"2x%2F2=28%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=14%29 ALIGN=MIDDLE  ALT=\"highlight%28x=14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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