document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=563718>Question 563718</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the diagonal of square is 16 meters. what is its area in square meters? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365035 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=365035\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A square is equal on all 4 sides.\r<BR>\n" );
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document.write( "Let each side = x.\r<BR>\n" );
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document.write( "The diagonal and two sides form a right triangle.\r<BR>\n" );
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document.write( "We can use the Paythagorean Theorem to start with.\r<BR>\n" );
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document.write( "x^2 + x^2 = 16^2\r<BR>\n" );
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document.write( "2x^2 = 256\r<BR>\n" );
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document.write( "x^2 = 256/2\r<BR>\n" );
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document.write( "x^2 = 128\r<BR>\n" );
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document.write( "Take square root of both sides.\r<BR>\n" );
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document.write( "sqrt{x^2} = sqrt{128}^2\r<BR>\n" );
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document.write( "x = sqrt{64} * sqrt{2}\r<BR>\n" );
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document.write( "x = 8(sqrt{2})\r<BR>\n" );
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document.write( "Now that we know the value for x, we use A = (side)^2 to find the area.\r<BR>\n" );
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document.write( "A = [8(sqrt{2})]^2\r<BR>\n" );
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document.write( "A = 128m^2\r<BR>\n" );
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