document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209009>Question 1209009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Farmer Jessie has a field shaped as quadrilateral ABCD. She measures three of the sides AB = 50 meters, BC = 65 meters, and CD = 80 meters. She also determines that angle ABC = 130 degrees and BCD = 52 degrees. <BR>\n" );
document.write( "(a) What is the distance between points A and C?<BR>\n" );
document.write( "(b) Show one way to find the area of triangle ABC.<BR>\n" );
document.write( "(c) Show a different way to find the area of triangle ABC.<BR>\n" );
document.write( "(d) What is the area of quadrilateral ABCD?<BR>\n" );
document.write( "Round each result to 3 decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #847574 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52797)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=847574\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Farmer Jessie has a field shaped as quadrilateral ABCD. She measures three of the sides <BR>\n" );
document.write( "AB = 50 meters, BC = 65 meters, and CD = 80 meters. She also determines <BR>\n" );
document.write( "that angle ABC = 130 degrees and BCD = 52 degrees.<BR>\n" );
document.write( "(a) What is the distance between points A and C?<BR>\n" );
document.write( "(b) Show one way to find the area of triangle ABC.<BR>\n" );
document.write( "(c) Show a different way to find the area of triangle ABC.<BR>\n" );
document.write( "(d) What is the area of quadrilateral ABCD?<BR>\n" );
document.write( "Round each result to 3 decimal places.<BR>\n" );
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document.write( "(a)  Use the cosine law formula for triangle ABC\r\n" );
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document.write( "        AC = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2850%5E2+%2B+65%5E2+-+2%2A50%2A65%2Acos%28130%5Eo%29%29 ALIGN=MIDDLE  ALT=\"sqrt%2850%5E2+%2B+65%5E2+-+2%2A50%2A65%2Acos%28130%5Eo%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286725+-+2%2A50%2A65%2A%28-0.64278760968%29%29 ALIGN=MIDDLE  ALT=\"sqrt%286725+-+2%2A50%2A65%2A%28-0.64278760968%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 104.418 meters  (rounded).    <U>ANSWER</U>\r\n" );
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document.write( "(b)  Use the formula for the area of a triangle\r\n" );
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document.write( "        <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area%5BABC%5D ALIGN=MIDDLE  ALT=\"area%5BABC%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2AAB%2ABC%2Asin%28ABC%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2AAB%2ABC%2Asin%28ABC%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A50%2A65%2Asin%28130%5E0%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A50%2A65%2Asin%28130%5E0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A50%2A65%2A0.76604444311 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A50%2A65%2A0.76604444311\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1244.822 m^2  (rounded).    <U>ANSWER</U>\r\n" );
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document.write( "(a) &nbsp;and &nbsp;(b) &nbsp;are solved.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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