document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011409>Question 1011409</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Quiz!\r<BR>\n" );
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document.write( "A Farmer Plants a Tree in a Square Plot of Land and\r<BR>\n" );
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document.write( "finds that it is 100 m and 140 m from two opposite\r<BR>\n" );
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document.write( "corners and 60 m from the 3rd corner.\r<BR>\n" );
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document.write( "What is the area of the plot? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627168 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=627168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A Farmer Plants a Tree in a Square Plot of Land and\r<BR>\n" );
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document.write( "finds that it is 100 m and 140 m from two opposite\r<BR>\n" );
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document.write( "corners and 60 m from the 3rd corner.\r<BR>\n" );
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document.write( "What is the area of the plot?<BR>\n" );
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document.write( "Lines from the tree to the corners of the square make 3 scalene triangles.<BR>\n" );
document.write( "s = the sides of the square.<BR>\n" );
document.write( "A, B & C are the angles at the tree.<BR>\n" );
document.write( "Use the Cosine Law.<BR>\n" );
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document.write( "s^2 = 60^2 + 140^2 - 2*60*140*cos(A)<BR>\n" );
document.write( "s^2 = 60^2 + 100^2 - 2*60*100*cos(B)<BR>\n" );
document.write( "2s^2 = 100^2 + 140^2 - 2*100*140*cos(C)<BR>\n" );
document.write( "A + B + C = 360<BR>\n" );
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document.write( "s^2 = 23200 - 16800*cos(A) = 13600 - 12000*cos(B) = 14800 - 14000*cos(C)<BR>\n" );
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document.write( "Can you do the rest? </SPAN>\n" );
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