document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=662390>Question 662390</A>: <I><SPAN STYLE=\"word-break: break-all;\"> need a little help please. Pair of similar triangles find the value of x....triangle 1 - Z to X is 14, X to Y is unknown, Y to Z has x btwn them..triangle 2 - F to H is 12, H to G is 9, G to F is unknown. Any help would be much appreciated. 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 #412255 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=412255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With similar triangles, you need to know which side of one triangle corresponds to each side in the other triangle.<BR>\n" );
document.write( "That is not clear in your problem, but I will make my best guess.<BR>\n" );
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document.write( "One way to indicate which pairs of sides are corresponding sides is naming the  similar triangles by listing corresponding sides in the same order. <BR>\n" );
document.write( "Saying that triangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=XYZ ALIGN=MIDDLE  ALT=\"XYZ\"   DISABLED_style= \"max-width:90%; height:auto;\" > is similar to triangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=FGH ALIGN=MIDDLE  ALT=\"FGH\"   DISABLED_style= \"max-width:90%; height:auto;\" > implies that<BR>\n" );
document.write( "side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=XY ALIGN=MIDDLE  ALT=\"XY\"   DISABLED_style= \"max-width:90%; height:auto;\" > corresponds to side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=FG ALIGN=MIDDLE  ALT=\"FG\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=YZ ALIGN=MIDDLE  ALT=\"YZ\"   DISABLED_style= \"max-width:90%; height:auto;\" > corresponds to side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=GH ALIGN=MIDDLE  ALT=\"GH\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "and side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ZX ALIGN=MIDDLE  ALT=\"ZX\"   DISABLED_style= \"max-width:90%; height:auto;\" > corresponds to side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=HF ALIGN=MIDDLE  ALT=\"HF\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "If triangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=XYZ ALIGN=MIDDLE  ALT=\"XYZ\"   DISABLED_style= \"max-width:90%; height:auto;\" > is similar to triangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=FGH ALIGN=MIDDLE  ALT=\"FGH\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the ratios of the lengths of corresponding sides are the same, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=XY+%2F+FG ALIGN=MIDDLE  ALT=\"XY+%2F+FG\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=YZ+%2FGH ALIGN=MIDDLE  ALT=\"YZ+%2FGH\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ZX%2FHF ALIGN=MIDDLE  ALT=\"ZX%2FHF\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It appears to be that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ZX=14 ALIGN=MIDDLE  ALT=\"ZX=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=YZ=x ALIGN=MIDDLE  ALT=\"YZ=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=HF=12 ALIGN=MIDDLE  ALT=\"HF=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=GH=9 ALIGN=MIDDLE  ALT=\"GH=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Substituting those values into<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=YZ+%2FGH ALIGN=MIDDLE  ALT=\"YZ+%2FGH\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ZX%2FHF ALIGN=MIDDLE  ALT=\"ZX%2FHF\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2F9 ALIGN=MIDDLE  ALT=\"x+%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F12 ALIGN=MIDDLE  ALT=\"14%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9%2A14%2F12 ALIGN=MIDDLE  ALT=\"x=9%2A14%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=21%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=21%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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