document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=557145>Question 557145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the palmyra triangle has a perimeter of 3000 miles. the side of middle length is 3 times as long as the shortest side. the longest side is 2 times as long as the middle side. how long is each side? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #362468 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=362468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the palmyra triangle has a perimeter of 3000 miles. the side of middle length is 3 times as long as the shortest side. the longest side is 2 times as long as the middle side. how long is each side?<BR>\n" );
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document.write( "Let shortest be \"x\".<BR>\n" );
document.write( "Middle is \"3x\"<BR>\n" );
document.write( "Longest = 2(3x) = \"6x\".<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x + 3x + 6x = 3000<BR>\n" );
document.write( "10x = 3000<BR>\n" );
document.write( "x = 300 miles (shortest)<BR>\n" );
document.write( "3x = 900 miles (middle)<BR>\n" );
document.write( "6x = 1800 miles (longest)<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=============== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );