document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=415824>Question 415824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 17. A triangle has a perimeter of 27 feet. One side is 8 feet. The middle side is five less than the longest side. What are the lengths of the middle and longest side? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #291453 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=291453\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1) S+M+L=27, where S=shortest side, M=middle side, L=longest side<BR>\n" );
document.write( "(2) M=L-5<BR>\n" );
document.write( "We are told that one of the sides is 8 feet.  We know this cannot be the longest side, since the middle side would be 5 less than this, or 3 feet.  This combination would give a perimeter < 27 feet.  It also cannot be the shortest side, since the middle side would have to be at least 9 and the longest side is 5 more than that, or 14.  This perimeter is > 27 feet.  Therefore the length of the middle side is 8 feet.<BR>\n" );
document.write( "From (2), L=M+5 -> L = 13 feet.<BR>\n" );
document.write( "Using (1), S=27-13-8 = 6 feet.<BR>\n" );
document.write( "Answer: S=6,M=8,L=13 </SPAN>\n" );
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