document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=389498>Question 389498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If (2,4) is the location of the centroid of a triangle, which CANNOT be the coordinates of the vertices of the triangle?<BR>\n" );
document.write( "F (0,0), (0,6), (6,6) <BR>\n" );
document.write( "G (3,4), (3,-2), (0,6)<BR>\n" );
document.write( "H (3,-2), (1,6), (2,8)<BR>\n" );
document.write( "J (2,0), (1,8), (3,4)\r<BR>\n" );
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document.write( "i don't understand what i should do first to even try and solve it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #276184 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=276184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The centroid is basically the \"average\" of all the points in a triangle, similar to the center of mass of an object. Since the points all have equal density, the centroid of a triangle can be computed by taking the average of all the x-coordinates and the average of the y-coordinates.\r<BR>\n" );
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document.write( "Checking all possible answers, G cannot be the vertices, since the average of the y-coordinates is (4-2+6)/3 = 8/3, which is not equal to 4. </SPAN>\n" );
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