document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=134800>Question 134800</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a square has a diagonal of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+sqrt+%282%29+ ALIGN=MIDDLE  ALT=\"+8+sqrt+%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. What is the length of a side? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98645 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=98645\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The diagonal of a square forms an isoceles right triangle with two of the sides.  Using Pythagoras, and remembering that the legs of the triangle are the same length, we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=8sqrt%282%29 ALIGN=MIDDLE  ALT=\"c=8sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=b ALIGN=MIDDLE  ALT=\"a=b\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=a%5E2%2Ba%5E2=2a%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=a%5E2%2Ba%5E2=2a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  That means:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%5E2=64%282%29 ALIGN=MIDDLE  ALT=\"2a%5E2=64%282%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=a%5E2=64 ALIGN=MIDDLE  ALT=\"a%5E2=64\"   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=a=8 ALIGN=MIDDLE  ALT=\"a=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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