document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213090>Question 213090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the length of a side of a square,given the following lenths of a diagonal 10\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160991 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=160991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the length of a side of a square, given the following lengths of a diagonal 10 \r<BR>\n" );
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document.write( "Step 1.  Use the Pythagorean Theorem:  Sum of the squares of the sides equals to the square of the hypotenuse.   In this case the diagonal is the hypotenuse. \r<BR>\n" );
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document.write( "Step 2.  Let s be the side of the square and let d be the diagonal of length 10.\r<BR>\n" );
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document.write( "Step 3.  So the equation is the following and is solved as follows.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2+=+s%5E2%2Bs%5E2 ALIGN=MIDDLE  ALT=\"d%5E2+=+s%5E2%2Bs%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=2s%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=2s%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%282s%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%282s%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=s%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"d=s%2Asqrt%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=d%2Fsqrt%282%29=s%2Asqrt%282%29%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"d%2Fsqrt%282%29=s%2Asqrt%282%29%2Fsqrt%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=s=d%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"s=d%2Fsqrt%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=s=10%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"s=10%2Fsqrt%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=s=7.071 ALIGN=MIDDLE  ALT=\"s=7.071\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2.  The side of the square has length 7.071.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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