document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1148023>Question 1148023</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find b such that the points A(2,b),B(5,5)and C(-6,0) are the vertices of right angled <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28triangle%29 ALIGN=MIDDLE  ALT=\"highlight%28triangle%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > with angle  < BAC = 90 degree.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #769388 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</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=769388\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "corrected response....  the slopes are negative reciprocals, not equal!<br><BR>\n" );
document.write( "The right angle is at A, so segments BA and CA are perpendicular; so the product of their slopes is -1.<br><BR>\n" );
document.write( "AB slope: (5-b)/3<BR>\n" );
document.write( "AC slope: b/8<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%285-b%29%2F3%29+%2A+%28b%2F8%29+=+-1 ALIGN=MIDDLE  ALT=\"%28%285-b%29%2F3%29+%2A+%28b%2F8%29+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b-b%5E2%2F24+=+-1 ALIGN=MIDDLE  ALT=\"5b-b%5E2%2F24+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-5b+=+24 ALIGN=MIDDLE  ALT=\"b%5E2-5b+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-5b-24+=+0 ALIGN=MIDDLE  ALT=\"b%5E2-5b-24+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b-8%29%28b%2B3%29+=+0 ALIGN=MIDDLE  ALT=\"%28b-8%29%28b%2B3%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+8 ALIGN=MIDDLE  ALT=\"b+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-3 ALIGN=MIDDLE  ALT=\"b+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );