document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=53688>Question 53688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diagonal of a square has the length of 8 sqrt 2. Find the length of a side of the triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35920 by </B><A HREF=/tutors/aboutme.mpl?userid=aaaaaaaa><B>aaaaaaaa(138)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=aaaaaaaa><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=35920\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By the pythagorean theorem, about the sides of a right triangle:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=+c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where c is the hypotenuse.\r<BR>\n" );
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document.write( "If you ignore two sides of a square, the remaining two sides and the diagonal form a right triangle. Since both sides we consider are equal, and we know the length of the diagonal, let's modify our equation a bit:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%5E2+=+%288sqrt%282%29%29%5E2 ALIGN=MIDDLE  ALT=\"2a%5E2+=+%288sqrt%282%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Distribute the exponentiation and solve:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%5E2+=+8%5E2%2Asqrt%282%29%5E2 ALIGN=MIDDLE  ALT=\"2a%5E2+=+8%5E2%2Asqrt%282%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%5E2+=+128 ALIGN=MIDDLE  ALT=\"2a%5E2+=+128\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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;\" ><BR>\n" );
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;\" > or <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;\" >\r<BR>\n" );
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document.write( "Since the length of the side of an square has to be positive, the sides of the square measure 8. </SPAN>\n" );
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