document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148388>Question 148388</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the equation for the circumscribed circle whose triangle verticies are A = (-5,12), B = (5, -12), and C = (5,12)?\r<BR>\n" );
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document.write( "thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108761 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=108761\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A and C have the same y coordinate (12), so AC is a vertical line\r<BR>\n" );
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document.write( "B and C have the same x coordinate (5), so BC is a horizontal line\r<BR>\n" );
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document.write( "AC and BC are perpendicular, so ABC is a right triangle<BR>\n" );
document.write( "__ this means that the hypotenuse (AB) is the diameter of the circumscribed circle\r<BR>\n" );
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document.write( "the center of the circle is the midpoint of AB __ (5-5)/2 and (12-12)/2 __ (0,0) or the origin\r<BR>\n" );
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document.write( "the radius of the circle is the distance from the center to either A or B<BR>\n" );
document.write( "__ by Pythagoras, r^2=(-5)^2+12^2 __ r^2=169 __ r=13\r<BR>\n" );
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document.write( "so the equation of the circle is (x-0)^2 + (y-0)^2 = 13^2 __ x^2+y^2=169 </SPAN>\n" );
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