document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4297>Question 4297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many diagonls can be drawn from each vertex of a decagon?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1929 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1929\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This question can be answered either by \"discovery\" or by \"construction.\"\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "For discovery method, consider a rectangle, which has four sides and one diagonal from a given vertex.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Next consider a pentagon, which has five sides and (picture it!) two diagonals from a given vertex.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Consider a hexagon, which has 6 sides, and each additional side adds an additional diagonal from each given vertex, which would be 3 diagonals.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Did you notice the pattern?  The number of diagonals from a given vertex is 3 less than the number of vertices.  The question at hand is for a decagon, which is a 10 sided figure, so there would be 10-3 or 7 diagonals from a given vertex.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Finally, you could always draw a 10 sided figure, draw all the diagonals from a given vertex, and count them for yourself!!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "R^2 from SCC<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );