document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199275>Question 199275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the length of the diagonal of a cube with side length of 10cm\r<BR>\n" );
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document.write( "i don't even know if we learned this! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149728 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=149728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,\r<BR>\n" );
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document.write( "The trick to this problem is to use the Pythagorean theorem. However, you need to use it twice (since we've moved into 3 dimensions). It's hard to explain why (let alone draw it), so I thought that this <a  rel=nofollow HREF=\"http://mathcentral.uregina.ca/QQ/database/QQ.09.04/brett1.html\"page</a> would do. Let me know if it makes sense.\r<BR>\n" );
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document.write( "It turns out that for a cube with side \"x\", the length of the diagonal is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=x%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"d=x%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So in this case, the length of the side is 10 cm. So plug x=10 into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=x%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"d=x%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=10%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"d=10%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which approximates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=17.32 ALIGN=MIDDLE  ALT=\"x=17.32\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the length of the diagonal is about 17.32 cm long. </SPAN>\n" );
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