document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145128>Question 1145128</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An acute angle is formed by two lines of slopes (1/2) and (2/11). What is the slope of the line which bisects the angle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #766328 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=766328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An acute angle is formed by two lines of slopes (1/2) and (2/11). What is the slope of the line which bisects the angle?<BR>\n" );
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document.write( "Use the Origin as a point on both lines.<BR>\n" );
document.write( "---> y = x/2 and y = 2x/11<BR>\n" );
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document.write( "Plot the points A(2,1) for slope 1/2 and B(11,2) for slope 2/11.<BR>\n" );
document.write( "Find a point C the same distance from the Origin as B on the line y = x/2<BR>\n" );
document.write( "distance to B = 5sqrt(5)<BR>\n" );
document.write( "distance to A = sqrt(5)<BR>\n" );
document.write( "---> point C is 5 times point A = (10,5)<BR>\n" );
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document.write( "Find the midpoint of BC = (10.5,3.5)<BR>\n" );
document.write( "Slope = y/x = 1/3<BR>\n" );
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