document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230295>Question 230295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many diagonals does a polygon with 32 sides have? and how do you figure out this type of problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170521 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=170521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how many diagonals does a polygon with 32 sides have? and how do you figure out this type of problem?<BR>\n" );
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document.write( "You have 32 vertices.  <BR>\n" );
document.write( "It takes 2 vertices to form a diagonal.<BR>\n" );
document.write( "But 2 of those vertex pairs determine sides of the polygon.<BR>\n" );
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document.write( "So the number of diagonals is 32C2 - 2 = (32*31/1*2) - 2 = 494 diagonals.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H </SPAN>\n" );
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