document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62936>Question 62936</A>: <I><SPAN STYLE=\"word-break: break-all;\"> help please<BR>\n" );
document.write( "the diagonal of a square measures 6 inches.  what is the length of the sides?<BR>\n" );
document.write( "the diagonal of a square measures 6 inches.  what is the length of the sides?<BR>\n" );
document.write( "thanks for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43753 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=43753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> QUESTION:\r<BR>\n" );
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document.write( "The diagonal of a square measures 6 inches.  what is the length of the sides?\r<BR>\n" );
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document.write( "ANSWER:\r<BR>\n" );
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document.write( "For a square all its sides are equal in length and all its four anlges are  90 degree each.\r<BR>\n" );
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document.write( "A diagonal of the square divides the square into two right triangles, because it contains one 90 degree.\r<BR>\n" );
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document.write( "So we can consider a right trianle whose hypotenuse is 6 inches( diagonal=6 inches)\r<BR>\n" );
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document.write( "Let us consider one of the side of this triangle is x inches.\r<BR>\n" );
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document.write( "Then other side is = x inches , because both are sides of same square.\r<BR>\n" );
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document.write( "so we have, in a right triangle, hypotenuse = 6 inches\r<BR>\n" );
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document.write( "                                   base = x inches and\r<BR>\n" );
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document.write( "                                   height = x inches\r<BR>\n" );
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document.write( "By pythagorus property,\r<BR>\n" );
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document.write( "(base)^2 + ( height)^2 = hypotenuse^2\r<BR>\n" );
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document.write( " x^2 + x^2 = 6^2\r<BR>\n" );
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document.write( " 2x^2 = 36\r<BR>\n" );
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document.write( " x^2  =36/2\r<BR>\n" );
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document.write( " x^2 = 18\r<BR>\n" );
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document.write( "Therefore  x = square root(18)\r<BR>\n" );
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document.write( "             = 3sqrt(2)\r<BR>\n" );
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document.write( "So lenth of one side of square  = 3 sqrt(2)\r<BR>\n" );
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document.write( "Regards.<BR>\n" );
document.write( "praseenakos@yahoo.co.in\r<BR>\n" );
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document.write( " </SPAN>\n" );
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