document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=559960>Question 559960</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Length of one side of a square is 13.5 centermeters. Find the length of a diagonal of the square. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363588 by </B><A HREF=/tutors/aboutme.mpl?userid=TutorDelphia><B>TutorDelphia(193)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TutorDelphia><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=TutorDelphia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=363588\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The diagonal forms a triangle with two of the sides.\r<BR>\n" );
document.write( "\n" );
document.write( "You can either use the rules for a 45-45-90 triangle (which this will create) or you can use the Pythagorean theorem (where the rules for the 45-45-90 triangle comes from).\r<BR>\n" );
document.write( "\n" );
document.write( "So Pythagorean theorem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > but in this case a=b since all the sides of a square are the same. So we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Ba%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Ba%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"2a%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282a%5E2%29=c ALIGN=MIDDLE  ALT=\"sqrt%282a%5E2%29=c\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2Aa=c ALIGN=MIDDLE  ALT=\"sqrt%282%29%2Aa=c\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Which is the rule for a 45-45-90 triangle. If the two sides are x then the hypotenuse is <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" );
document.write( "\n" );
document.write( "So we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2A13.5 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2A13.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > So the answer will be around 19.09 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );