document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064987>Question 1064987</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The legs of a right triangle are in a ratio of 7 to 11. If the perimeter is 2015 cm, what is the length of the shorter leg? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #680098 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=680098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse is sqrt (7^2+11^2)=sqrt(170)<BR>\n" );
document.write( "The ratio of the legs is 7:11:sqrt(170)<BR>\n" );
document.write( "the sum is 18 +sqrt (170). Divide that into 2015 and can partition the number.<BR>\n" );
document.write( "It divides in 64.92 times. I will use 64.9196<BR>\n" );
document.write( "So the right triangle is 7* each of the ratios<BR>\n" );
document.write( "454.44<BR>\n" );
document.write( "714.12<BR>\n" );
document.write( "846.45<BR>\n" );
document.write( "With rounding error, that is 2015.<BR>\n" );
document.write( "square each side<BR>\n" );
document.write( "206,515.71<BR>\n" );
document.write( "509,967.37<BR>\n" );
document.write( "716,477.60; the sum of the top two is 716483.08\r<BR>\n" );
document.write( "\n" );
document.write( "The shorter leg is 454.44 cm long </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );