document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=863831>Question 863831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the x-y plane, points D(1,0), E(1,6), and F(r,s) are the vertices of a right triangle.  If line DE is the hypotenuse of the right triangle, which of the following CANNOT be the area of the triangle?<BR>\n" );
document.write( "**I suppose there is the inclusion of an inscribed triangle within a circle with its diameter being measured at 6 (units covered by the base - hypotenuse - of the triangle on the plane), however I do not quite understand how to go about deciphering this conundrum...\r<BR>\n" );
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document.write( "A) 0.6<BR>\n" );
document.write( "B) 4.7<BR>\n" );
document.write( "C) 7.5<BR>\n" );
document.write( "D) 8.8<BR>\n" );
document.write( "E) 9.2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #520642 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=520642\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> D(1,0), E(1,6), and F(r,s)<BR>\n" );
document.write( "D(1,0), E(1,6) <BR>\n" );
document.write( "DE=6\r<BR>\n" );
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document.write( "a^2+b^2=c^2=6^2\r<BR>\n" );
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document.write( "We need the distances of a=DF and b=EF such that<BR>\n" );
document.write( "a^2+b^2=6^2\r<BR>\n" );
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document.write( "a^2=(6-s)^2+(1-r)^2,<BR>\n" );
document.write( "b^2=(0-s)^2+(1-r)^2,<BR>\n" );
document.write( "a^2+b^2=36,<BR>\n" );
document.write( "1/2ab=x\r<BR>\n" );
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document.write( "E)9.2 only has complex solutions with imaginary numbers\r<BR>\n" );
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document.write( " </SPAN>\n" );
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