document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=556147>Question 556147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ABCD is a quadrilateral with AB=8, BC=13, and DC=15. What is the maximum possible integral value of AD? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #362076 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=362076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe the minimum integral value would be 11 and the maximum integral value would be 14.<BR>\n" );
document.write( "here's why:<BR>\n" );
document.write( "assume the left side of the quadrilateral is perpendicular to the top and bottom sides of the quadrilateral.<BR>\n" );
document.write( "that's the shortest it can be.<BR>\n" );
document.write( "now assume the right side of the quadrilateral is perpendicular to the top and bottom sides of the quadrilateral.<BR>\n" );
document.write( "that's the shortest the right side can be which results in the longest the left side can be.<BR>\n" );
document.write( "you would get a figure that looks like the following:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2012/jan122.jpg\" alt = \"$$$$\" /><BR>\n" );
document.write( "the top figure is the shortest that the left side of the quadrilateral can be.<BR>\n" );
document.write( "the bottom figure is the longest that the left side of the quadrilateral can be.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );