document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188735>Question 188735</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the orhtocenter of triangle abc if the vertexes are a(0,4) b(6,-4) and c(0,-2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141669 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=141669\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Tahoma\" size=1.5><BR>\n" );
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document.write( "We know that the orthocenter is where the interestion of the altitudes of the triangle.\r<BR>\n" );
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document.write( "Let's see,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-7%2C7%2C-7%2C7%2Cgraph%28400%2C400%2C-7%2C7%2C-7%2C7%29%2Cgreen%28triangle%280%2C4%2C6%2C-4%2C0%2C-2%29%29%2Cred%28locate%28.5%2C4%2Ca%29%29%2Cred%28locate%286%2C-3.5%2Cb%29%29%2Cred%28locate%28-.5%2C-2%2Cc%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Extend the altitude lines passing thru the vertex and make perpendicular to the opposite side.<BR>\n" );
document.write( "In this case is an obtuse triangle, the orthocenter lies outside the triangle.\r<BR>\n" );
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document.write( "--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-7%2C7%2C-7%2C7%2Cgrid%281%29%2Cgraph%28400%2C400%2C-7%2C7%2C-7%2C7%2C-4%2C%282%2F3%29x-2%2C%288%2F3%29x%2B4%2C%28-1%2F3%29x-2%29%2Cgreen%28triangle%280%2C4%2C6%2C-4%2C0%2C-2%29%29%2Cred%28locate%28.5%2C4%2Ca%29%29%2Cred%28locate%286%2C-3.5%2Cb%29%29%2Cred%28locate%28-.5%2C-2%2Cc%29%29%2Cgreen%28arrow%280%2C-2%2C0%2C-7%29%29%2Cred%28locate%28-2%2C-1.5%2C90%5Eo%29%29%2Cred%28locate%282.7%2C-.5%2C90%5Eo%29%29%2Cred%28locate%28.2%2C-3%2C90%5Eo%29%29%2Ccircle%28-3%2C-4%2C.12%29%2Ccircle%28-3%2C-4%2C.10%29%29%2Cgreen%28line%28-3%2C0%2C-3%2C-4%29%29%2Cgreen%28line%28-3%2C-4%2C0%2C-4%29%29%2Cgreen%28circle%28-3%2C-4%2C.25%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ----> ORTHOCENTER (-3,-4)\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Jojo</font> </SPAN>\n" );
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