document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135106>Question 1135106</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ABCD  is a trapezium with right angles at B and C, AB=5cm DC=12cm and the area of the trapezium is 34cm. Calculate ADC. Show diagram </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #752728 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=752728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The instruction \"calculate ADC\" is very poorly stated, and not clear.  The only interpretation that seems to make sense is it means \"determine the measure of angle ADC\".  So I will assume that is the question....<br><BR>\n" );
document.write( "Here is a diagram: right angles at B and C; AB=5 and DC=12.<br><BR>\n" );
document.write( "I've added point E on DC to make ABCE a rectangle.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C200%2C-2%2C16%2C-2%2C6%2C%0D%0Aline%280%2C0%2C12%2C0%29%2Cline%2812%2C0%2C5%2C4%29%2Cline%285%2C4%2C0%2C4%29%2Cline%280%2C4%2C0%2C0%29%2Cline%285%2C0%2C5%2C4%29%2C%0D%0Alocate%280%2C-.5%2CC%29%2Clocate%2812%2C-.5%2CD%29%2Clocate%285%2C5%2CA%29%2Clocate%280%2C5%2CB%29%2Clocate%285%2C-.5%2CE%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The area of the trapezoid, 34, is the height, BC, times the average of the tow bases, AB and CD.  Given AB=5 and CD=12, the height of the trapezoid is 4.<br><BR>\n" );
document.write( "With AB=CE=5 and CD=12, DE=7; then with AE=BC=4, the measure of angle ADC is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=arctan%284%2F7%29 ALIGN=MIDDLE  ALT=\"arctan%284%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );