document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=96915>Question 96915</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321443624/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The Bermuda Triangle supposedly causes trouble for aircraft pilots.  It has a perimeter of 3075 mi. The shortest side measures 75 mi less than the middle side, and the longest side measures 375 mi more than the middle side.  Find the lengths of the three sides. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70555 by </B><A HREF=/tutors/aboutme.mpl?userid=mathslover><B>mathslover(157)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathslover><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=mathslover><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=70555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the middle side of the bermuda triangle be of length M<BR>\n" );
document.write( "Therefore the shortest side S = M-75 ( 75 miles shorter than the middle side)<BR>\n" );
document.write( "The longest side L = M + 375( 375 miles more than the middle side)<BR>\n" );
document.write( "Perimeter of the triangle =Sum of 3 sides of the triangle<BR>\n" );
document.write( "=> 3075= S+ M + L<BR>\n" );
document.write( "Substituting the values of S and L from above<BR>\n" );
document.write( "3075 = M-75 + M +M + 375<BR>\n" );
document.write( "=> 3M = 3075 +75 -375<BR>\n" );
document.write( "=> M = 2775/3<BR>\n" );
document.write( "therefore M = 925<BR>\n" );
document.write( "S = M-75<BR>\n" );
document.write( "=>S= 925-75=850<BR>\n" );
document.write( "L = M+375=925+375<BR>\n" );
document.write( "therfore,L= 1300\r<BR>\n" );
document.write( "\n" );
document.write( "Smallest Side = 850 miles<BR>\n" );
document.write( "Middle Side= 925 miles<BR>\n" );
document.write( "Longest side= 1300 miles </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );