document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1075922>Question 1075922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	Question 1062547: A workshop table has an equilateral triangular top, each side of which is 900mm, the legs being at the three corners. A load of 500N is placed on the table at a point distant 325mm from one leg and 625mm from another. What is the load in each of the three legs.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #690707 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=690707\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=F4.png\">.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Summing the forces in the z direction,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B1%5D%2BR%5B2%5D%2BR%5B3%5D=500 ALIGN=MIDDLE  ALT=\"R%5B1%5D%2BR%5B2%5D%2BR%5B3%5D=500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Summing the moments about the x axis,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2AC-R%5B3%5D%2AD%2BR%5B2%5D%2AD=0 ALIGN=MIDDLE  ALT=\"500%2AC-R%5B3%5D%2AD%2BR%5B2%5D%2AD=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Summing the moments about the y axis,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2AE-R%5B2%5D%2AF-R%5B3%5D%2AF=0 ALIGN=MIDDLE  ALT=\"500%2AE-R%5B2%5D%2AF-R%5B3%5D%2AF=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" > using the law of cosines to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29=%28900%5E2%2B625%5E2-325%5E2%29%2F%282%28900%29%28625%29%29 ALIGN=MIDDLE  ALT=\"cos%28A%29=%28900%5E2%2B625%5E2-325%5E2%29%2F%282%28900%29%28625%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29=73%2F75 ALIGN=MIDDLE  ALT=\"cos%28A%29=73%2F75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=13.26 ALIGN=MIDDLE  ALT=\"A=13.26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30-A=16.74 ALIGN=MIDDLE  ALT=\"30-A=16.74\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=625sin%2816.74%29 ALIGN=MIDDLE  ALT=\"C=625sin%2816.74%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=625%280.2880%29 ALIGN=MIDDLE  ALT=\"C=625%280.2880%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=180.0 ALIGN=MIDDLE  ALT=\"C=180.0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mm ALIGN=MIDDLE  ALT=\"mm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E=625cos%2816.74%29 ALIGN=MIDDLE  ALT=\"E=625cos%2816.74%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E=598.5 ALIGN=MIDDLE  ALT=\"E=598.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mm ALIGN=MIDDLE  ALT=\"mm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F=900cos%2830%29 ALIGN=MIDDLE  ALT=\"F=900cos%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F=779.4 ALIGN=MIDDLE  ALT=\"F=779.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mm ALIGN=MIDDLE  ALT=\"mm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "Summing about x,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2A180-R%5B3%5D%2A450%2BR%5B2%5D%2A450=0 ALIGN=MIDDLE  ALT=\"500%2A180-R%5B3%5D%2A450%2BR%5B2%5D%2A450=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=450%28R%5B3%5D-R%5B3%5D%29=500%2A180 ALIGN=MIDDLE  ALT=\"450%28R%5B3%5D-R%5B3%5D%29=500%2A180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B3%5D-R%5B2%5D=%28500%2A180%29%2F450 ALIGN=MIDDLE  ALT=\"R%5B3%5D-R%5B2%5D=%28500%2A180%29%2F450\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B3%5D-R%5B2%5D=200 ALIGN=MIDDLE  ALT=\"R%5B3%5D-R%5B2%5D=200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and summing about y,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2AE-R%5B2%5D%2AF-R%5B3%5D%2AF=0 ALIGN=MIDDLE  ALT=\"500%2AE-R%5B2%5D%2AF-R%5B3%5D%2AF=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%28598.5%29=%28R%5B2%5D%2BR%5B3%5D%29%28779.4%29 ALIGN=MIDDLE  ALT=\"500%28598.5%29=%28R%5B2%5D%2BR%5B3%5D%29%28779.4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B2%5D%2BR%5B3%5D=383.9 ALIGN=MIDDLE  ALT=\"R%5B2%5D%2BR%5B3%5D=383.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then adding eqs. 1 and 2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B3%5D-R%5B2%5D%2BR%5B2%5D%2BR%5B3%5D=200%2B383.9 ALIGN=MIDDLE  ALT=\"R%5B3%5D-R%5B2%5D%2BR%5B2%5D%2BR%5B3%5D=200%2B383.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2R%5B3%5D=583.9 ALIGN=MIDDLE  ALT=\"2R%5B3%5D=583.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B3%5D=291.97 ALIGN=MIDDLE  ALT=\"R%5B3%5D=291.97\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N ALIGN=MIDDLE  ALT=\"N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=291.97-R%5B2%5D=200 ALIGN=MIDDLE  ALT=\"291.97-R%5B2%5D=200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B2%5D=91.97 ALIGN=MIDDLE  ALT=\"R%5B2%5D=91.97\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N ALIGN=MIDDLE  ALT=\"N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B1%5D%2B91.97%2B291.97=500 ALIGN=MIDDLE  ALT=\"R%5B1%5D%2B91.97%2B291.97=500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B1%5D=116.06 ALIGN=MIDDLE  ALT=\"R%5B1%5D=116.06\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N ALIGN=MIDDLE  ALT=\"N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );