document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=441687>Question 441687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hoe many line segments are determined by the n vertices of an n-gon? of these, how many are diagnols? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #304791 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=304791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  hoe many line segments are determined by the n vertices of an n-gon? of these, how many are diagnols?<BR>\n" );
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document.write( "Each pair of vertices determines a line.<BR>\n" );
document.write( "# of line segments determined = nC2 =  (n(n-1))/2<BR>\n" );
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document.write( "# of sides + number of diagonals = (n(n-1))/2<BR>\n" );
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document.write( "number of diagonals = (n(n-1))/2 - n<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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