document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=219497>Question 219497</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of the triangle is 48centimeters. The longest side is 6 centimeters less than the sum of the other two sides. Twice the shortest side is 5 centimeters less than the longest side. Find the lengths of each side.\r<BR>\n" );
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document.write( "I began by trying to come up with the equations: (a=shortest side; b=middle, c=longest side; and P=48)\r<BR>\n" );
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document.write( "a+b+c=48<BR>\n" );
document.write( "2a=5-c<BR>\n" );
document.write( "c=6-(a+b)<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165046 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=165046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a+b+c=48<BR>\n" );
document.write( "c=a+b-6 <BR>\n" );
document.write( "2a=c-5<BR>\n" );
document.write( "a+b+(a+b-6)=48<BR>\n" );
document.write( "2a+2b-6=48<BR>\n" );
document.write( "2a=2b=48+6<BR>\n" );
document.write( "2a+2b=54<BR>\n" );
document.write( "a+b=27<BR>\n" );
document.write( "27+c=48<BR>\n" );
document.write( "c=48-27<BR>\n" );
document.write( "c=21 ans. for the longest side.<BR>\n" );
document.write( "2a=21-5<BR>\n" );
document.write( "2a=16<BR>\n" );
document.write( "2a=16/2<BR>\n" );
document.write( "a=8 ans.<BR>\n" );
document.write( "8+b=27<BR>\n" );
document.write( "b=27-8<BR>\n" );
document.write( "b=19 ans.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "8+19+21=48<BR>\n" );
document.write( "48=48 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );