document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81578>Question 81578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> show a complete solution<BR>\n" );
document.write( "find the exact length of the side of a square whose diagonal is 3 ft. not sure how to set this up please help with step by step </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58403 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=58403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the rectangle is a square, than all of the sides (x) are equal.  Since the triangles formed are right triangles and the hypotenuse is the diagonal, use the Pythagorean Theorem to solve: <BR>\n" );
document.write( "a^2+b^2=c^2<BR>\n" );
document.write( ".\r<BR>\n" );
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document.write( "a=one side=x<BR>\n" );
document.write( "b=another side=x<BR>\n" );
document.write( "c=the hypotenuse=3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Plug-in the values and solve for the x-term<BR>\n" );
document.write( "x^2+x^2=3^2<BR>\n" );
document.write( "2x^2=9<BR>\n" );
document.write( "2x^2/2=9/2<BR>\n" );
document.write( "x^2=9/2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28x%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%289%2F2%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%289%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Fsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%283%2Fsqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%28sqrt%282%29%29%2Fsqrt%282%29sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%283%28sqrt%282%29%29%2Fsqrt%282%29sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [rationalize the denominator]<BR>\n" );
document.write( "x=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%28sqrt%282%29%29%2F2%29%29 ALIGN=MIDDLE  ALT=\"%283%28sqrt%282%29%29%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( ".<BR>\n" );
document.write( "check by plugging all of the values back into:<BR>\n" );
document.write( "a^2+b^2=c^2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%28sqrt%282%29%29%2F2%29%5E2%29 ALIGN=MIDDLE  ALT=\"%283%28sqrt%282%29%29%2F2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%28sqrt%282%29%29%2F2%29%5E2%29 ALIGN=MIDDLE  ALT=\"%283%28sqrt%282%29%29%2F2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=3^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );