document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=452360>Question 452360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two similar triangles have perimeters of 18cm and 30 cm. Find the ratio of their areas. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311098 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=311098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two similar triangles have perimeters of 18cm and 30 cm.<BR>\n" );
document.write( " Find the ratio of their areas.<BR>\n" );
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document.write( "Use two equilateral triangles<BR>\n" );
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document.write( "Triangle 1, 6 cm on each side<BR>\n" );
document.write( "find the height<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%5E2-3%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%286%5E2-3%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2827%29 ALIGN=MIDDLE  ALT=\"sqrt%2827%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%283%29 ALIGN=MIDDLE  ALT=\"3sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find area 1<BR>\n" );
document.write( "A = .5*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%283%29 ALIGN=MIDDLE  ALT=\"3sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*6<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A3sqrt%283%29 ALIGN=MIDDLE  ALT=\"3%2A3sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9sqrt%283%29 ALIGN=MIDDLE  ALT=\"9sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq/cm<BR>\n" );
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document.write( "Triangle 2, 10 cm on each side<BR>\n" );
document.write( "find the height<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810%5E2-5%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2810%5E2-5%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2875%29 ALIGN=MIDDLE  ALT=\"sqrt%2875%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5sqrt%283%29 ALIGN=MIDDLE  ALT=\"5sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find  area 2<BR>\n" );
document.write( "A = .5*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5sqrt%283%29 ALIGN=MIDDLE  ALT=\"5sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*10<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A5sqrt%283%29 ALIGN=MIDDLE  ALT=\"5%2A5sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25sqrt%283%29 ALIGN=MIDDLE  ALT=\"25sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq/cm<BR>\n" );
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document.write( "Find ratio of the two areas<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289sqrt%283%29%29%2F%2825sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%289sqrt%283%29%29%2F%2825sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F25 ALIGN=MIDDLE  ALT=\"9%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > the area ratio: 9:25 ~ .36<BR>\n" );
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document.write( "Interesting to note<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F30 ALIGN=MIDDLE  ALT=\"18%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .6 for the perimeters and .36 for the areas; .6^2 = .36<BR>\n" );
document.write( "The square of the perimeter ratio = the area ratio </SPAN>\n" );
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