document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=455572>Question 455572</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Isoscles triangle ABC has vertices A(-1,1), B(1,5), and C(3,1) What is the equation of the perpendicular bisector of line segment BC? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #312744 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=312744\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Isoscles triangle ABC has vertices A(-1,1), B(1,5), and C(3,1) What is the equation of the perpendicular bisector of line segment BC?<BR>\n" );
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document.write( "The midpoint of BC is x = (1+3)/2 ; y = (5+1)/2 or (2,3)<BR>\n" );
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document.write( "BC has slope (5-1)/(1-3) = -2<BR>\n" );
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document.write( "So the perpendicular bisector is the line<BR>\n" );
document.write( "with slope 1/2 passing thru point (2,3)<BR>\n" );
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document.write( "Form y = mx + b<BR>\n" );
document.write( "Substitute for y,x, and m, and solve for \"b\":<BR>\n" );
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document.write( "3 = (1/2)2 + b<BR>\n" );
document.write( "3 = 1 + b<BR>\n" );
document.write( "b = 2<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "y = (1/2)x + 2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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