document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174584>Question 174584</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A triangle ABC has a median on side AC and AD which meets vertex B and C and the point where both median intersect named O. show that BOC =90&#730; +BAC  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129679 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=129679\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> </pre><font size=4><b><BR>\n" );
document.write( "Good way to prove your theorem \"BOC=90&#730;+BAC\" is via Equilateral Triangle.<BR>\n" );
document.write( "Let's see as per the conditions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-7%2C7%2C-1%2C7%2Cgraph%28400%2C400%2C-7%2C7%2C-1%2C7%29%2Ctriangle%28-6%2C0%2C0%2C6%2C6%2C0%29%2Clocate%28-6.2%2C.4%2CA%29%2Clocate%286.2%2C.4%2CC%29%2Clocate%28.2%2C6.2%2CB%29%2Cred%28locate%28-5.2%2C.7%2C60%5Eo%29%29%2Cred%28locate%280.2%2C5.5%2C60%5Eo%29%29%2Cred%28locate%284.6%2C.7%2C60%5Eo%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-7%2C7%2C-1%2C7%2Cgraph%28400%2C400%2C-7%2C7%2C-1%2C7%29%2Ctriangle%28-6%2C0%2C0%2C6%2C6%2C0%29%2Clocate%28-6.2%2C.4%2CA%29%2Clocate%286.2%2C.4%2CC%29%2Clocate%28.2%2C6.2%2CB%29%2Cgreen%28line%28-3%2C3%2C6%2C0%29%29%2Cgreen%28line%280%2C6%2C0%2C0%29%29%2Cred%28locate%28-.4%2C2%2CO%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "RIGHT GRAPH: you see GREEN line from vertex B going to midpoint (median) of AC, and GREEN line from vertex C going to midpoint (median) of AB.\r<BR>\n" );
document.write( "\n" );
document.write( "Evaluating:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-7%2C7%2C-1%2C7%2Ctriangle%28-6%2C0%2C0%2C6%2C6%2C0%29%2Clocate%28-6.2%2C.4%2CA%29%2Clocate%286.2%2C.4%2CC%29%2Clocate%28.2%2C6.2%2CB%29%2Cgreen%28line%28-3%2C3%2C6%2C0%29%29%2Cgreen%28line%280%2C6%2C0%2C0%29%29%2Clocate%28-.4%2C2%2CO%29%2Cred%28locate%28-5.2%2C.7%2C60%5Eo%29%29%2Cred%28locate%28-1%2C5%2C30%5Eo%29%29%2Cred%28locate%28.4%2C5%2C30%5Eo%29%29%2Cred%28locate%284.6%2C1%2C30%5Eo%29%29%2Cred%28locate%284%2C.5%2C30%5Eo%29%29%2Cred%28locate%280%2C2.5%2C120%5Eo%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To PROVE: BOC =90&#730; +BAC <BR>\n" );
document.write( "As you see the values in the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%5Eo=90%5Eo%2B60%5Eo ALIGN=MIDDLE  ALT=\"120%5Eo=90%5Eo%2B60%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "120deg is not equal to 150deg<BR>\n" );
document.write( "If we rewrite what to prove:--->BOC=60&#730; +BAC, then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%5Eo=60%5Eo%2B60%5E0 ALIGN=MIDDLE  ALT=\"120%5Eo=60%5Eo%2B60%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%5Eo=120%5Eo ALIGN=MIDDLE  ALT=\"120%5Eo=120%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >, correct<BR>\n" );
document.write( ".<BR>\n" );
document.write( "*Note: if you increase the angle on BAC, BOC increases too.<BR>\n" );
document.write( "Let's see if BAC=90&#730:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-1%2C13%2C-1%2C13%2Cgraph%28400%2C400%2C-1%2C13%2C-1%2C13%29%2Ctriangle%280%2C0%2C0%2C12%2C12%2C0%29%2Cgreen%28line%280%2C1%2C1%2C1%29%29%2Cgreen%28line%281%2C1%2C1%2C0%29%29%2Cblue%28locate%28-.8%2C0.8%2CA%29%29%2Cblue%28locate%280.5%2C12.2%2CB%29%29%2Cblue%28locate%2812.2%2C0.8%2CC%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >-----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-1%2C13%2C-1%2C13%2Cgraph%28400%2C400%2C-1%2C13%2C-1%2C13%29%2Ctriangle%280%2C0%2C0%2C12%2C12%2C0%29%2Cgreen%28line%280%2C1%2C1%2C1%29%29%2Cgreen%28line%281%2C1%2C1%2C0%29%29%2Cblue%28locate%28-.8%2C0.8%2CA%29%29%2Cblue%28locate%280.5%2C12.2%2CB%29%29%2Cblue%28locate%2812.2%2C0.8%2CC%29%29%2Cgreen%28line%2812%2C0%2C0%2C6%29%29%2Cgreen%28line%280%2C12%2C6%2C0%29%29%2Cblue%28locate%283.6%2C4%2CO%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".Now, we prove: BOC=90&#730; +BAC<BR>\n" );
document.write( "BOC=90&#730; + 90&#730<BR>\n" );
document.write( "BOC=180&#730-----------> NOT TRUE, AS YOU SEE IN THE GRAPH.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So if you can double check the condition to prove please.<BR>\n" );
document.write( "If you're not satisfied, try to poste it again.<BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo</pre>\r<BR>\n" );
document.write( "<BR>\n" );
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