document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981580>Question 981580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The lengths of the three sides of a triangle are in the ratio 4:5:7.  The longest is 21 cm longer than the shortest side.  What is the length of 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 #602553 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=602553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x:5x:21x are ratios, too.\r<BR>\n" );
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document.write( "We know that 21x-21cm=4x, because the longest side is 21 cm longer.\r<BR>\n" );
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document.write( "17x=21cm, by collecting terms and separating variable from constant.\r<BR>\n" );
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document.write( "x=(21/17); 4x=(84/17)cm SHORTEST SIDE, ANSWER.\r<BR>\n" );
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document.write( "Check: The sides would be (84/17), (105/17), and (441/17)<BR>\n" );
document.write( "They can be made into mixed numbers, but these are acceptable.<BR>\n" );
document.write( "Longest side is (441/17)-(84/17) (shortest side)=(357/17)\r<BR>\n" );
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document.write( "(357/17)=21, all units cm. </SPAN>\n" );
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