document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=289251>Question 289251</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't know how to solve this.\r<BR>\n" );
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document.write( "The lengths of three sides of a triangle ABC are 6 centimeters, 4 centimeters, and 9 centimeters. Triangle DEF is similar to triangle ABC. The length of one of the sides of triangle DEF is 36 centimeters. What is the greatest perimeter possible for triangle DEF? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209578 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=209578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You know the ratio of the sides of the first triangle.<BR>\n" );
document.write( "You know that similar triangles will have the same ratio on its sides.<BR>\n" );
document.write( "So, to get the largest perimeter, then you need to make the smallest side of the second triangle be 36 (so the other sides are longer)\r<BR>\n" );
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document.write( "So the smallest side of the first triangle is 4. The smallest side fo the second triangle is 36. That's a factor of 9. \r<BR>\n" );
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document.write( "Each of the other sides of the larger triangle will be 9 times the similar side of the smaller one.<BR>\n" );
document.write( "6*9 = 54<BR>\n" );
document.write( "9*9 = 81\r<BR>\n" );
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document.write( "So the perimeter is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36+%2B+54+%2B+81 ALIGN=MIDDLE  ALT=\"36+%2B+54+%2B+81\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Make sense </SPAN>\n" );
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