document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215359>Question 215359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the diagonal of a square is 26 inches. find the length of a side and the perimeter. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162713 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=162713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The diagonal of a square is 26 inches. Find the length of a side and the perimeter.\r<BR>\n" );
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document.write( "Step 1.  We'll use the Pythagorean Theorem which states that the sum of the  square of the sides or legs of a right triangle is equal to the square of the hypotenuse or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"c%5E2=a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and for this example, c is the diagonal and a=b is the side since it's a square.\r<BR>\n" );
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document.write( "Step 2.  So with a=b then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=a%5E2%2Ba%5E2=2a%5E2 ALIGN=MIDDLE  ALT=\"c%5E2=a%5E2%2Ba%5E2=2a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or c=a*sqrt(2).\r<BR>\n" );
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document.write( "Step 3.  Since c=26 inches then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=c%2Fsqrt%282%29=26%2Fsqrt%282%29=13%2Asqrt%282%29%29 ALIGN=MIDDLE  ALT=\"a=c%2Fsqrt%282%29=26%2Fsqrt%282%29=13%2Asqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=18.38 ALIGN=MIDDLE  ALT=\"a=18.38\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches.\r<BR>\n" );
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document.write( "Step 4.  Perimeter P means that we add up all the form sides or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=4a=4%2A13sqrt%282%29=52sqrt%282%29 ALIGN=MIDDLE  ALT=\"P=4a=4%2A13sqrt%282%29=52sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or P=73.39 inches.\r<BR>\n" );
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document.write( "Step 5.  The side is 18.38 inches and the perimeter is 93.39 inches.\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<BR>\n" );
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