document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404480>Question 404480</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 10.   A square has a 40-cm diagonal. How long is each side of the square? Round your answer to the nearest tenth of a centimeter.  (1 point </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285843 by </B><A HREF=/tutors/aboutme.mpl?userid=anomis><B>anomis(18)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=anomis><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=anomis><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=285843\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> All sides of a square are equal, so the diagonal of a square splits the square in two right triangles with two sides that are equal.\r<BR>\n" );
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document.write( "We use the Pythagorean Theorem to find the length of the side:<BR>\n" );
document.write( " We know that the two sides of the triangle are equal ( because that sides are actually the sides of the square)<BR>\n" );
document.write( " So we have:<BR>\n" );
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document.write( " a^2 + a^2 = 40^2 ( the diagonal of the square is the hypotenuses)<BR>\n" );
document.write( " 2a^2 = 40^2<BR>\n" );
document.write( "  a^2 = 800<BR>\n" );
document.write( "  a = &#8730;800<BR>\n" );
document.write( "  a ~ 28.3 cm\r<BR>\n" );
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document.write( " All sides of a square are equal so all sides are 28.3cm<BR>\n" );
document.write( "  </SPAN>\n" );
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