document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=469743>Question 469743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "I'm having trouble with this particicular setup of the equation. I'm really not quite sure how to solve it. Any help would be greatly appreciated. Thanks!<BR>\n" );
document.write( "Stefani\r<BR>\n" );
document.write( "\n" );
document.write( "In triangle ABC, the bisector of anlge B meets AC at K. AB= 18, BC= 24,and AC= 28. Find AK. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #322255 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=322255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Whenever you have a triangle ABC split into 2 triangles by a bisector through angle B then the following relationship holds:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AK%2FAB+=+KC%2FBC ALIGN=MIDDLE  ALT=\"AK%2FAB+=+KC%2FBC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where AB=18, BC=24, and KC = 28 - AK<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AK%2F18+=+%2828-AK%29%2F24 ALIGN=MIDDLE  ALT=\"AK%2F18+=+%2828-AK%29%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for AK:<BR>\n" );
document.write( "Multiply by 24 on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29AK+=+28+-+AK ALIGN=MIDDLE  ALT=\"%284%2F3%29AK+=+28+-+AK\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add AK on both sides<BR>\n" );
document.write( "**Note: 4/3 + 1 = 4/3 + 3/3 = 7/3 **<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F3%29AK+=+28 ALIGN=MIDDLE  ALT=\"%287%2F3%29AK+=+28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by 3/7 on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AK+=+12 ALIGN=MIDDLE  ALT=\"AK+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );