document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163816>Question 1163816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A triangle has a perimeter of 23<BR>\n" );
document.write( " inches. The medium side is 5<BR>\n" );
document.write( " more than the short side, and the longest side is 4<BR>\n" );
document.write( " times the length of the shortest side. Find the shortest side. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #788034 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=788034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Faulty problem description.<br><BR>\n" );
document.write( "If the longest side is 4 times as long as the short side, and the medium side is only 5 inches longer than the short side, you can't have a perimeter of 23 inches.<br><BR>\n" );
document.write( "The sum of the lengths of the two shorter sides has to be greater than the length of the longest side:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%2B%28x%2B5%29%3E4x ALIGN=MIDDLE  ALT=\"%28x%29%2B%28x%2B5%29%3E4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%3E2x ALIGN=MIDDLE  ALT=\"5%3E2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C2.5 ALIGN=MIDDLE  ALT=\"x%3C2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The perimeter is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+x%2Bx%2B5%2B4x+=+6x%2B5 ALIGN=MIDDLE  ALT=\"p+=+x%2Bx%2B5%2B4x+=+6x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >; since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C2.5 ALIGN=MIDDLE  ALT=\"x%3C2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%3C6%282.5%29%2B5=20 ALIGN=MIDDLE  ALT=\"p%3C6%282.5%29%2B5=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "A perimeter of 23 inches is not possible.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );