document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205117>Question 1205117</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Points A B C are three vertices of an isosceles triangle in which AC=BC . The coordinates of A and B are (-2,1) & (6,-3)respectively and the equation of AC is 4x-7y+15=0find the coordinates of C </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841755 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841755\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "AC and BC are the congruent sides, so the third side is AB.<br><BR>\n" );
document.write( "If M is the midpoint of AB, then MC is the altitude of the triangle.<br><BR>\n" );
document.write( "The midpoint of AB is (2,-1).<BR>\n" );
document.write( "The slope of AB is -1/2.<BR>\n" );
document.write( "The slope of MC (the altitude to AB) is the negative reciprocal of the slope of AB: 2.<BR>\n" );
document.write( "The equation of the altitude MC -- with slope 2 and passing through (2,-1) -- is y=2x-5.<br><BR>\n" );
document.write( "I leave it to the student to fill in the details for the above calculations.<br><BR>\n" );
document.write( "The intersection of MC and the given line is the point C whose coordinates we are to find.  With the two equations in the form we have, solve using substitution:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-7y%2B15=0 ALIGN=MIDDLE  ALT=\"4x-7y%2B15=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x-5 ALIGN=MIDDLE  ALT=\"y=2x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-7%282x-5%29%2B15=0 ALIGN=MIDDLE  ALT=\"4x-7%282x-5%29%2B15=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-14x%2B35%2B15=0 ALIGN=MIDDLE  ALT=\"4-14x%2B35%2B15=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50=10x ALIGN=MIDDLE  ALT=\"50=10x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x-5=10-5=5 ALIGN=MIDDLE  ALT=\"y=2x-5=10-5=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: (5,5)<br><BR>\n" );
document.write( " </SPAN>\n" );
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