document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174515>Question 174515</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the plan for a table, the triangular top has coordinates (0,10), (4,0), and (8,14). The tabletop will rest on a single support placed beneath it. Where should the support e attached so that the table is balanced? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129525 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=129525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> </pre><font size=4><b>(0,10), (4,0), and (8,14).<BR>\n" );
document.write( "Okay, we need to find the centroid of the triangular top where you can put the support to a point where it will be stable or balance.<BR>\n" );
document.write( "We find the \"x\" & \"y\" coordinates of the cemtroid via---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%5Bc%5D=%28x%5B1%5D%2Bx%5B2%5D%2Bx%5B3%5D%29%2F3=%28y%5B1%5D%2By%5B2%5D%2By%5B3%5D%29%2F3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >,  working eqn<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x-coordinates:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%5Bc%5D=%280%2B4%2B8%29%2F3=12%2F3=highlight%284=x%29 ALIGN=MIDDLE  ALT=\"T%5Bc%5D=%280%2B4%2B8%29%2F3=12%2F3=highlight%284=x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y-coordinates:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%5Bc%5D=%2810%2B0%2B14%29%2F3=24%2F3=highlight%288=y%29 ALIGN=MIDDLE  ALT=\"T%5Bc%5D=%2810%2B0%2B14%29%2F3=24%2F3=highlight%288=y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, you put the post on point (4,8), as you see below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-3%2C12%2C-3%2C16%2Cgraph%28400%2C400%2C-3%2C12%2C-3%2C16%29%2Ctriangle%280%2C10%2C4%2C0%2C8%2C14%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "With the Centroid where to put the support:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-3%2C12%2C-3%2C16%2Cgraph%28400%2C400%2C-3%2C12%2C-3%2C16%29%2Ctriangle%280%2C10%2C4%2C0%2C8%2C14%29%2Cred%28circle%284%2C8%2C.05%29%29%2Cred%28circle%284%2C8%2C.08%29%29%2Cred%28circle%284%2C8%2C.10%29%29%2Cred%28circle%284%2C8%2C.12%29%29%2Cgreen%28line%280%2C10%2C4%2C8%29%29%2Cgreen%28line%284%2C0%2C4%2C8%29%29%2Cgreen%28line%288%2C14%2C4%2C8%29%29%2Cred%28circle%284%2C8.16%29%29%2Cred%28circle%284%2C8%2C.19%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo</pre> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );