document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933448>Question 933448</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the length of the diagonal of a rectangular box with a length of 5cm, width of 4cm, and height of 2cm? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566810 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=566810\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "the length of the diagonal of a rectangular box with a: \r<BR>\n" );
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document.write( "length of  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=5cm ALIGN=MIDDLE  ALT=\"L=5cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, width of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=4cm ALIGN=MIDDLE  ALT=\"W=4cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and height of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=2cm ALIGN=MIDDLE  ALT=\"h=2cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "The base of the box is a rectangle of sides <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=5cm ALIGN=MIDDLE  ALT=\"L=5cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=4cm ALIGN=MIDDLE  ALT=\"W=4cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Thus its diagonal , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" > (of the base only), satisfies <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=L%5E2%2BW%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=L%5E2%2BW%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > by the Pythagorean theorem. \r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=L%5E2%2BW%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=L%5E2%2BW%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...if  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=5cm ALIGN=MIDDLE  ALT=\"L=5cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=4cm ALIGN=MIDDLE  ALT=\"W=4cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > we will have\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=%285cm%29%5E2%2B%284cm%29%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=%285cm%29%5E2%2B%284cm%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=25cm%5E2%2B16cm%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=25cm%5E2%2B16cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=41cm%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=41cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%2841cm%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%2841cm%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=6.4cm ALIGN=MIDDLE  ALT=\"d=6.4cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next consider the rectangle formed by this diagonal, the diagonal above it (parallel to it), and the two vertical sides connecting the two diagonals. This rectangle has the diagonal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D ALIGN=MIDDLE  ALT=\"D\"   DISABLED_style= \"max-width:90%; height:auto;\" > connecting opposite sides of the box. <BR>\n" );
document.write( "Since the dimensions of this rectangle are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" >, again by the Pythagorean theorem <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=d%5E2%2Bh%5E2 ALIGN=MIDDLE  ALT=\"D%5E2=d%5E2%2Bh%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=41cm%5E2%2B4cm%5E2 ALIGN=MIDDLE  ALT=\"D%5E2=41cm%5E2%2B4cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=45cm%5E2 ALIGN=MIDDLE  ALT=\"D%5E2=45cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=sqrt%2845cm%5E2%29 ALIGN=MIDDLE  ALT=\"D=sqrt%2845cm%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=6.7cm ALIGN=MIDDLE  ALT=\"D=6.7cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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