document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207180>Question 1207180</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ABCD is a trapezium with A (4,1) a d C(4,5) the point B lies on the y axis and angle DAB is 90 degrees find<BR>\n" );
document.write( "The equation of line  AB <BR>\n" );
document.write( "The equation of line AD <BR>\n" );
document.write( "The coordinates of D </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844909 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=844909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "ANSWER(S): There is no unique solution to the problem with the given information.<br><BR>\n" );
document.write( "To find a solution...<br><BR>\n" );
document.write( "(1) Choose point B(0,b) on the y-axis (b can be any number greater than 1)<BR>\n" );
document.write( "(2) Determine the slope of AB<BR>\n" );
document.write( "(3) Determine the slope of AD (AD and AB are perpendicular)<BR>\n" );
document.write( "(4) Using A(4,1) and the slope of AD, find the equation of AD<BR>\n" );
document.write( "(5) Using C(4,5) and the slope of CD (it is the same as the slope of AB), find the equation of CD<BR>\n" );
document.write( "(6) Solve the equations from (4) and (5) simultaneously to find the coordinates of D<br><BR>\n" );
document.write( "Here are two solutions using B(0,3) (green) and B(0,5) (red):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-2%2C8%2C-2%2C8%0D%0A%2Clocate%284%2C1%2C%22A%284%2C1%29%22%29%2Clocate%284%2C5.5%2C%22C%284%2C%2C5%29%22%29%0D%0A%2Cline%280%2C-1%2C0%2C7%29%2Cline%28-1%2C0%2C7%2C0%29%0D%0A%2Cgreen%28line%280%2C3%2C4%2C1%29%29%2Cgreen%28line%284%2C1%2C5.6%2C4.2%29%29%2Cgreen%28line%285.6%2C4.2%2C4%2C5%29%29%2Cgreen%28line%284%2C5%2C0%2C3%29%29%0D%0A%2Cred%28line%280%2C5%2C4%2C1%29%29%2Cred%28line%284%2C1%2C6%2C3%29%29%2Cred%28line%286%2C3%2C4%2C5%29%29%2Cred%28line%284%2C5%2C0%2C5%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "For any choice for point B on the y axis with y coordinate greater than 1, there is a solution.  So the problem as presented cannot be solved.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );