document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206886>Question 206886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having trouble understanding this statement: If triangle ABC is similar to triangle DEF<BR>\n" );
document.write( "AB=4, BC=8, AC=11<BR>\n" );
document.write( "DE=10, EF=20, DF=n  Solve for n.\r<BR>\n" );
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document.write( "I know the perimeter of a triangle is P=a+b+c but I can't seem to solve for n. It's like there are 2 unknowns. Can you please let me know what I am doing wrong. Thank-you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156375 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=156375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If ABC is similar to DEF, then the corresponding sides form a ratio. In other words, the ratio of AB to DE is the same as the ratio of BC to EF. Similarly, the ratio of BC to EF is equal to the ratio of AC to DF.\r<BR>\n" );
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document.write( "What this means is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB%2FDE=BC%2FEF ALIGN=MIDDLE  ALT=\"AB%2FDE=BC%2FEF\"   DISABLED_style= \"max-width:90%; height:auto;\" > and if you plug in the given lengths, you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F10=8%2F20 ALIGN=MIDDLE  ALT=\"4%2F10=8%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > (which is indeed true).\r<BR>\n" );
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document.write( "Furthermore, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC%2FEF=AC%2FDF ALIGN=MIDDLE  ALT=\"BC%2FEF=AC%2FDF\"   DISABLED_style= \"max-width:90%; height:auto;\" > and plugging in the given values gets us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F20=11%2Fn ALIGN=MIDDLE  ALT=\"8%2F20=11%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So all you need to do from here is solve for 'n'\r<BR>\n" );
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document.write( "Note: because all the ratios are equal, we can also solve the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F10=11%2Fn ALIGN=MIDDLE  ALT=\"4%2F10=11%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > and get the same answer.\r<BR>\n" );
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