document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142081>Question 1142081</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of a regular nonagon of side 6cm  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #762739 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39627)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=762739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The nonagon has nine of these isosceles triangles:<BR>\n" );
document.write( "Peak angle 40 degrees<BR>\n" );
document.write( "Each base angle 70 degrees<BR>\n" );
document.write( "Let r be distance peak to base angle<BR>\n" );
document.write( "Let a be altitude of one isosceles triangle\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2Fsin%2870%29=6%2Fsin%2840%29 ALIGN=MIDDLE  ALT=\"r%2Fsin%2870%29=6%2Fsin%2840%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=r=6%28sin%2870%29%2Fsin%2840%29%29 ALIGN=MIDDLE  ALT=\"r=6%28sin%2870%29%2Fsin%2840%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fsin%2870%29=r%2Fsin%2890%29 ALIGN=MIDDLE  ALT=\"a%2Fsin%2870%29=r%2Fsin%2890%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=a=r%2Asin%2870%29%2F1 ALIGN=MIDDLE  ALT=\"a=r%2Asin%2870%29%2F1\"   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=a=6%28sin%2870%29%2Fsin%2840%29%29sin%2870%29 ALIGN=MIDDLE  ALT=\"a=6%28sin%2870%29%2Fsin%2840%29%29sin%2870%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=highlight_green%28a=6%2Asin%5E2%2870%29%2Fsin%2840%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28a=6%2Asin%5E2%2870%29%2Fsin%2840%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Total area of nonagon\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%289%281%2F2%29%2A6%2Aa%29 ALIGN=MIDDLE  ALT=\"highlight_green%289%281%2F2%29%2A6%2Aa%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=9%2A18%2Asin%5E2%2870%29%2Fsin%2840%29 ALIGN=MIDDLE  ALT=\"9%2A18%2Asin%5E2%2870%29%2Fsin%2840%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=%280.88302%2F0.64278%29%2A9%2A8 ALIGN=MIDDLE  ALT=\"%280.88302%2F0.64278%29%2A9%2A8\"   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=highlight%28highlight_green%28222.55%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight_green%28222.55%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "----------------------------BELOW STILL WRONG-------------------------------<BR>\n" );
document.write( "It has nine of these isosceles triangles:<BR>\n" );
document.write( "Peak angle, 40 degrees<BR>\n" );
document.write( "Each base angle, <s>25</s> degrees--------MISTAKE(Really should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28180-40%29%2F2=70 ALIGN=MIDDLE  ALT=\"%28180-40%29%2F2=70\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "Base length, 6 cm<BR>\n" );
document.write( "Each congruent side, r, distance from a peak angle to base angle<BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2840%29%2F6=sin%2870%29%2Fr ALIGN=MIDDLE  ALT=\"sin%2840%29%2F6=sin%2870%29%2Fr\"   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=r%2Fsin%2870%29=6%2Fsin%2840%29 ALIGN=MIDDLE  ALT=\"r%2Fsin%2870%29=6%2Fsin%2840%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=r=6%28sin%2870%29%2Fsin%2840%29%29 ALIGN=MIDDLE  ALT=\"r=6%28sin%2870%29%2Fsin%2840%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The original figure is made of 18 of these right triangles:<BR>\n" );
document.write( "leg r<BR>\n" );
document.write( "leg <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F2=3 ALIGN=MIDDLE  ALT=\"6%2F2=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "AREA of original figure, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2A3%2Ar ALIGN=MIDDLE  ALT=\"18%2A3%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OR<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2A3%2A6%28sine%2870%29%2Fsin%2840%29%29 ALIGN=MIDDLE  ALT=\"18%2A3%2A6%28sine%2870%29%2Fsin%2840%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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