document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135262>Question 1135262</A>: <I><SPAN STYLE=\"word-break: break-all;\"> traingle ABC has coordinates A(0,0), B(0,6) , and C (4,0). Triangle DEF is similar to triangle ABC, and the length of DE is 3 units. what is the measure of segment DF? why </SPAN>\n" );
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document.write( "triangle ABC has coordinates A(0,0), B(0,6) , and C (4,0). \r<BR>\n" );
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document.write( "distance between two points is equal to length of the side<BR>\n" );
document.write( "A(0,0), B(0,6)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=sqrt%28%280-0%29%5E2%2B%286-0%29%5E2%29 ALIGN=MIDDLE  ALT=\"AB=sqrt%28%280-0%29%5E2%2B%286-0%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=sqrt%2836%29 ALIGN=MIDDLE  ALT=\"AB=sqrt%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=6 ALIGN=MIDDLE  ALT=\"AB=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A(0,0),C (4,0)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC=sqrt%28%284-0%29%5E2%2B%280-0%29%5E2%29 ALIGN=MIDDLE  ALT=\"AC=sqrt%28%284-0%29%5E2%2B%280-0%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC=sqrt%2816%29 ALIGN=MIDDLE  ALT=\"AC=sqrt%2816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC=4 ALIGN=MIDDLE  ALT=\"AC=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "B(0,6) , and C (4,0).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC=sqrt%28%284-0%29%5E2%2B%280-6%29%5E2%29 ALIGN=MIDDLE  ALT=\"BC=sqrt%28%284-0%29%5E2%2B%280-6%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC=sqrt%2816%2B36%29 ALIGN=MIDDLE  ALT=\"BC=sqrt%2816%2B36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC=sqrt%2852%29 ALIGN=MIDDLE  ALT=\"BC=sqrt%2852%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC=4sqrt%2813%29 ALIGN=MIDDLE  ALT=\"BC=4sqrt%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Triangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DEF ALIGN=MIDDLE  ALT=\"DEF\"   DISABLED_style= \"max-width:90%; height:auto;\" > is similar to triangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABC ALIGN=MIDDLE  ALT=\"ABC\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the length of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DE ALIGN=MIDDLE  ALT=\"DE\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > units. what is the measure of segment <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DF ALIGN=MIDDLE  ALT=\"DF\"   DISABLED_style= \"max-width:90%; height:auto;\" >? why \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC%2FDF=AB+%2FDE+ ALIGN=MIDDLE  ALT=\"AC%2FDF=AB+%2FDE+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>similar  triangles have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=proportional ALIGN=MIDDLE  ALT=\"proportional\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2FDF=6+%2F3 ALIGN=MIDDLE  ALT=\"4%2FDF=6+%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12=6+DF ALIGN=MIDDLE  ALT=\"12=6+DF\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DF=12%2F6 ALIGN=MIDDLE  ALT=\"DF=12%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DF=2 ALIGN=MIDDLE  ALT=\"DF=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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