document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148550>Question 148550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A regular pentagon can be dissected into 5 isosceles triangles whose vertex angle is at the center of the pentagon. The height of the triangle is 10 cm. find the area of this pentagon. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108888 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=108888\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Pentagon=540 degrees<BR>\n" );
document.write( "540/5=108<BR>\n" );
document.write( "108=the vertex angle of the isosceles triangle\r<BR>\n" );
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document.write( "1/2 of 108=54<BR>\n" );
document.write( "tan(54)=x/10<BR>\n" );
document.write( "x=13.764\r<BR>\n" );
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document.write( "(x=length of half of one side of the pentagon)<BR>\n" );
document.write( "2x=27.528\r<BR>\n" );
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document.write( "apothem=10<BR>\n" );
document.write( "perimeter=137.638\r<BR>\n" );
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document.write( "area=1/2ap\r<BR>\n" );
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document.write( "137.638(10)=1376.38\r<BR>\n" );
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document.write( "1376.38/2=688.19\r<BR>\n" );
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document.write( "area=688.19<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E2 ALIGN=MIDDLE  ALT=\"cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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