document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154771>Question 1154771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that the area of a square is half the product of its diagonals. Then consider the possibility that there might be other quadrilaterals with the same property. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #777340 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=777340\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Area of square with side x = x^2\r<BR>\n" );
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document.write( "Diagonal of square = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2Ax ALIGN=MIDDLE  ALT=\"sqrt%282%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Half product of diagonals = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A%28sqrt%282%29%2Ax%29%5E2 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A%28sqrt%282%29%2Ax%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=x^2\r<BR>\n" );
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document.write( "Proved </SPAN>\n" );
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