document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31172>Question 31172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! I have tried this problem over and over again but I can't seem to get it. Please help.\r<BR>\n" );
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document.write( "A regular hexagon has sides four feet long. Find the area of the triangle formed by connecting alternate vertices.\r<BR>\n" );
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document.write( "I know your supposed to show your previous work, but honestly, I don't even know where to start! I really need your help. Thank you so very much.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17867 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> not sure exactly which is the triangle you are asking for. Label the vertices as A, B, C, D, E, F then draw a line between A and C...you mean the triangle ABC?\r<BR>\n" );
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document.write( "If so, we have Area=(1/2)absinC --> the notation here is nothing to do with the labelling of the vertices.\r<BR>\n" );
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document.write( "a=AB<BR>\n" );
document.write( "b=BC\r<BR>\n" );
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document.write( "and a=b=4\r<BR>\n" );
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document.write( "angle C is angle ABC. This is an interior angle of a hexagon.\r<BR>\n" );
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document.write( "To find the interior angle of an hexagon:<BR>\n" );
document.write( "A hexagon is 6sided. This can be divided into 4 triangles.<BR>\n" );
document.write( "4 triangles have 4*180 angles between them --> 720degrees.\r<BR>\n" );
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document.write( "So each interior angle = 720/6 --> 120degrees\r<BR>\n" );
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document.write( "so area= (1/2)*4*4*sin120<BR>\n" );
document.write( "8sin120<BR>\n" );
document.write( "8*sqrt(3)/2<BR>\n" );
document.write( "4sqrt(3) is the area of triangle ABC.\r<BR>\n" );
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document.write( "Hope this helps\r<BR>\n" );
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document.write( "jon.\r<BR>\n" );
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