document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=743615>Question 743615</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A triangle is such that its medium side is three times as long as its shortest side, and its longest side is five inches longer than four times its shortest side. The perimeter of the triangle is 69inches. Find the length of the medium side of the triangle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #452988 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=452988\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First we decide on names for our sides:\r<BR>\n" );
document.write( "\n" );
document.write( "s-short side<BR>\n" );
document.write( "m-medium<BR>\n" );
document.write( "l-long\r<BR>\n" );
document.write( "\n" );
document.write( "Next let's look at each statement carefully...\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "medium side is three times as long as its shortest side means:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=3s ALIGN=MIDDLE  ALT=\"m=3s\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "longest side is five inches longer than four times its shortest side means:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=4s%2B5 ALIGN=MIDDLE  ALT=\"l=4s%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "perimeter of the triangle is 69 inches means:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2Bm%2Bl=69 ALIGN=MIDDLE  ALT=\"s%2Bm%2Bl=69\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now we can substitute values:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2Bm%2Bl=69 ALIGN=MIDDLE  ALT=\"s%2Bm%2Bl=69\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "becomes\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2B%283s%29%2B%284s%2B5%29=69 ALIGN=MIDDLE  ALT=\"s%2B%283s%29%2B%284s%2B5%29=69\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Adding s-terms...\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8s%2B5=69 ALIGN=MIDDLE  ALT=\"8s%2B5=69\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8s=64 ALIGN=MIDDLE  ALT=\"8s=64\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so s=8\r<BR>\n" );
document.write( "\n" );
document.write( "Now \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=3s=3%2A8=24 ALIGN=MIDDLE  ALT=\"m=3s=3%2A8=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );