document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=475473>Question 475473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me write a word problem, and solve it using the following words:<BR>\n" );
document.write( "area, angle, 17, less than<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #326048 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=326048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sample problem:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Triangle ABC has sides AB = 8, BC = 15, AC = 17. The angle bisector of C meets AB at point D. Show that the area of CBD is less than the area of CDA.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Sample solution:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Construct the triangle:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28200%2C400%2C0%2C10%2C0%2C20%2C%0D%0A%0D%0Atriangle%281%2C1%2C9%2C1%2C9%2C16%29%2C%0D%0Alocate%281%2C1%2CA%29%2C%0D%0Alocate%289%2C1%2CB%29%2C%0D%0Alocate%289%2C16%2CC%29%2C%0D%0Aline%289%2C16%2C21%2F4%2C1%29%2C%0D%0Alocate%2821%2F4%2C1%2CD%29%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Because CD is an angle bisector, we can say that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{CA}{AD} = \frac{CB}{BD}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{17}{AD} = \frac{15}{BD}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 17BD = 15AD\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE BD = 15x, AD = 17x, \Rightarrow BD < AD\">, the heights of both triangles are the same, so the area of CBD is less than the area of CDA. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );