document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212404>Question 212404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a diagonal of a square is 18 cm, how long is a side?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160407 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=160407\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> pythagorean theorem states that a^2 + b^2 = c^2<BR>\n" );
document.write( "let d = diagonal of the square.<BR>\n" );
document.write( "let s = each side of the square.<BR>\n" );
document.write( "diagonal is hypotenuse of a right triangle, so c = d<BR>\n" );
document.write( "one side of the square is one leg of the right triangle so a = s<BR>\n" );
document.write( "one side of the square is the other leg of the right triangle so b = s<BR>\n" );
document.write( "a^2 + b^2 = c^2 becomes:<BR>\n" );
document.write( "s^2 + s^2 = d^2 which becomes:<BR>\n" );
document.write( "2s^2 = d^2<BR>\n" );
document.write( "divide both sides by 2 to get:<BR>\n" );
document.write( "s^2 = d^2/2<BR>\n" );
document.write( "take the square root of both sides to get:<BR>\n" );
document.write( "s = +/- sqrt (d^2/2)<BR>\n" );
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document.write( "since s can't be negative, this becomes:<BR>\n" );
document.write( "s = sqrt (d^2/2)<BR>\n" );
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document.write( "since d = 18, this becomes:<BR>\n" );
document.write( "s = sqrt(18^2/2) which becomes:<BR>\n" );
document.write( "s = sqrt (162) which becomes:<BR>\n" );
document.write( "s = 12.72792206<BR>\n" );
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document.write( "2s^2 = 324<BR>\n" );
document.write( "sqrt(324) = 18<BR>\n" );
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document.write( "answer is confirmed.<BR>\n" );
document.write( "each side of the square = 12.72792206<BR>\n" );
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