document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062291>Question 1062291</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given triangle ABC with vertices A(0,4) ,B(-6,0) and C(2,0) , where l,m and n are the perpendicular lines bisecting AB,AC and BC, respectively. Obtain the equation of l,m and n. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #677161 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=677161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> AB<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "A(0.4)<BR>\n" );
document.write( "B(-6,0)<BR>\n" );
document.write( "midpoint:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+M%5Bx%5D+=+%28+0+%2B%28-6%29+%29+%2F+2+=+-3+ ALIGN=MIDDLE  ALT=\"+M%5Bx%5D+=+%28+0+%2B%28-6%29+%29+%2F+2+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+M%5By%5D+=+%28+4+%2B+0+%29+%2F+2+=+2+ ALIGN=MIDDLE  ALT=\"+M%5By%5D+=+%28+4+%2B+0+%29+%2F+2+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( -3,2 )<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "slope:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+4+-+0+%29+%2F+%28+0+-%28-6%29+%29+=+4%2F6+ ALIGN=MIDDLE  ALT=\"+%28+4+-+0+%29+%2F+%28+0+-%28-6%29+%29+=+4%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2F6+=+2%2F3+ ALIGN=MIDDLE  ALT=\"+4%2F6+=+2%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "perpendicular slope:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3%2F2+ ALIGN=MIDDLE  ALT=\"+-3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "========================<BR>\n" );
document.write( "AC<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "A(0,4)<BR>\n" );
document.write( "C(2,0)<BR>\n" );
document.write( "midpoint:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+M%5Bx%5D+=+%28+0+%2B+2+%29+%2F+2+=+1+ ALIGN=MIDDLE  ALT=\"+M%5Bx%5D+=+%28+0+%2B+2+%29+%2F+2+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+M%5By%5D+=+%28+4+%2B+0+%29+%2F+2+=+2+ ALIGN=MIDDLE  ALT=\"+M%5By%5D+=+%28+4+%2B+0+%29+%2F+2+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( 1,2 )<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "slope:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+4+-+0+%29+%2F+%28+0+-+2+%29+=+-2+ ALIGN=MIDDLE  ALT=\"+%28+4+-+0+%29+%2F+%28+0+-+2+%29+=+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "perpendicular slope:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F2+ ALIGN=MIDDLE  ALT=\"+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "BC<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "B(-6.0)<BR>\n" );
document.write( "C(2,0)<BR>\n" );
document.write( "midpoint:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+M%5Bx%5D+=+%28+-6+%2B+2+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+M%5Bx%5D+=+%28+-6+%2B+2+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+M%5Bx%5D+=+-4%2F2+ ALIGN=MIDDLE  ALT=\"+M%5Bx%5D+=+-4%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+M%5Bx%5D+=+-2+ ALIGN=MIDDLE  ALT=\"+M%5Bx%5D+=+-2+\"   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=+M%5By%5D+=+%28+0+%2B+0+%29+%2F+2+=+0+ ALIGN=MIDDLE  ALT=\"+M%5By%5D+=+%28+0+%2B+0+%29+%2F+2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( -2,0)<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "slope:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+0+-+0+%29+%2F+%28+2+-%28-6%29+%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28+0+-+0+%29+%2F+%28+2+-%28-6%29+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "perpendicular slope = vertical line<BR>\n" );
document.write( "through the midpoint<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-2+ ALIGN=MIDDLE  ALT=\"+x+=+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "equation for L:<BR>\n" );
document.write( "( -3,2 )<BR>\n" );
document.write( "m = -3/2<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+2+%29+%2F+%28+x+-%28-3%29+%29+=+-3%2F2+ ALIGN=MIDDLE  ALT=\"+%28+y+-+2+%29+%2F+%28+x+-%28-3%29+%29+=+-3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+2+%29+%2F+%28+x+%2B+3+%29+=+-3%2F2+ ALIGN=MIDDLE  ALT=\"+%28+y+-+2+%29+%2F+%28+x+%2B+3+%29+=+-3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28+y+-+2+%29+=+-3%2A%28+x+%2B+3+%29+ ALIGN=MIDDLE  ALT=\"+2%2A%28+y+-+2+%29+=+-3%2A%28+x+%2B+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+-+4+=+-3x+-+9+ ALIGN=MIDDLE  ALT=\"+2y+-+4+=+-3x+-+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+-3x+-+5+ ALIGN=MIDDLE  ALT=\"+2y+=+-3x+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-3%2F2%29%2Ax+-+5%2F2+ ALIGN=MIDDLE  ALT=\"+y+=+%28-3%2F2%29%2Ax+-+5%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Equation for M:<BR>\n" );
document.write( "( 1,2 )<BR>\n" );
document.write( "m = 1/2 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+2+%29+%2F+%28+x+-+1+%29+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+%28+y+-+2+%29+%2F+%28+x+-+1+%29+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28+y+-+2+%29+=+x+-+1+ ALIGN=MIDDLE  ALT=\"+2%2A%28+y+-+2+%29+=+x+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+-+4+=+x+-+1+ ALIGN=MIDDLE  ALT=\"+2y+-+4+=+x+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+x+%2B+3+ ALIGN=MIDDLE  ALT=\"+2y+=+x+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F2%29%2Ax+%2B+3%2F2+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F2%29%2Ax+%2B+3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Equation for N:<BR>\n" );
document.write( "( -2,0 )<BR>\n" );
document.write( "m = vertical line<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-2+ ALIGN=MIDDLE  ALT=\"+x+=+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Whew!<BR>\n" );
document.write( "Check the math\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );