document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=265363>Question 265363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many diagonals does a regular n-gon have?<BR>\n" );
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document.write( "What are some steps I can take when trying to find the answer to the questions, like ways to approach it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195134 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=195134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How many diagonals does a regular n-gon have?<BR>\n" );
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document.write( "The n-gon will have n vertices.<BR>\n" );
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document.write( "Every pair of vertices determines a line segment.<BR>\n" );
document.write( "You have nC2 = n(n-1)/2 pairs of vertices.<BR>\n" );
document.write( "So you have n(n-1)/2 line segments determined.<BR>\n" );
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document.write( "n of those line segments are sides of the n-gon.<BR>\n" );
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document.write( "So the number of diagonals is [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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