document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1148562>Question 1148562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the triangle below, one vertex is joined to two points on the opposite side of the triangle, another is joined to four points on the opposite side, and another is joined to six points on the opposite side. No three lines intersect at one point. How many non-overlapping regions are formed in the triangle. \r<BR>\n" );
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document.write( "Diagram: https://ibb.co/qNdLwfZ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #769909 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=769909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "There might be a mathematical method for using the 2, 4, and 6 to find a general formula that will give the answer for any three numbers a, b, and c.<br><BR>\n" );
document.write( "But simply counting the regions (carefully) is a much easier path to the answer.<br><BR>\n" );
document.write( "I counted three different times and got 57 each time....<br><BR>\n" );
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