document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=726768>Question 726768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Each angle of abc sides 3, 6, 4 has the same measure as an angle in xyz (not shown).  If the length of one side of xyz is 24, what is  one possible perimeter of xyz? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #444809 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=444809\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the lengths of the sides of triangle ABC are 3, 6, and 4 (in whatever units),<BR>\n" );
document.write( "ABC has a perimeter of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B6%2B4=13 ALIGN=MIDDLE  ALT=\"3%2B6%2B4=13\"   DISABLED_style= \"max-width:90%; height:auto;\" > (measured in the same units).<BR>\n" );
document.write( "If the angles of triangle XYZ have the same measures as the angles in ABC,<BR>\n" );
document.write( "the triangles are similar, meaning that one is a scaled-up version of the other.<BR>\n" );
document.write( "If the length of one side of XYZ is 24, XYZ is a larger, scaled-up version of ABC.<BR>\n" );
document.write( "We just do not know the scale-up factor, but there are three possibilities.<BR>\n" );
document.write( " <BR>\n" );
document.write( "If the side measuring 24 is the longest, corresponding the the side measuring 6 in ABC,<BR>\n" );
document.write( "the scale-up factor is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F6=4 ALIGN=MIDDLE  ALT=\"24%2F6=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and everything in XYZ is 4 times longer than in ABC, including the perimeter.<BR>\n" );
document.write( "That means the perimeter of XYZ is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A13=52 ALIGN=MIDDLE  ALT=\"4%2A13=52\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "If the side measuring 24 is the medium length one,=, corresponding the the side measuring 4 in ABC,<BR>\n" );
document.write( "the scale-up factor is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F4=6 ALIGN=MIDDLE  ALT=\"24%2F4=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and everything in XYZ is 6 times longer than in ABC, including the perimeter.<BR>\n" );
document.write( "That means the perimeter of XYZ is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A13=78 ALIGN=MIDDLE  ALT=\"6%2A13=78\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "If the side measuring 24 is the shortest, corresponding the the side measuring 3 in ABC,<BR>\n" );
document.write( "the scale-up factor is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F3=8 ALIGN=MIDDLE  ALT=\"24%2F3=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and everything in XYZ is 8 times longer than in ABC, including the perimeter.<BR>\n" );
document.write( "That means the perimeter of XYZ is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A13=104 ALIGN=MIDDLE  ALT=\"8%2A13=104\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "SO the perimeter of XYZ could be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2854%29 ALIGN=MIDDLE  ALT=\"highlight%2854%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2878%29 ALIGN=MIDDLE  ALT=\"highlight%2878%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28104%29 ALIGN=MIDDLE  ALT=\"highlight%28104%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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