document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=411572>Question 411572</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A unit square is divided into 4 pieces using three cuts as shown. The four pieces can be rearranged to form an isosceles triangle. What is the length of the longest side of the triangle? \r<BR>\n" );
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document.write( "It is problem number 18 on http://www.ncssm.edu/smc/tests/Test2009/geo_09.pdf \r<BR>\n" );
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document.write( "Please explain how to find the answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289297 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=289297\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Area of unit square = 1 unit sq.\r<BR>\n" );
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document.write( "area of triangle is also equal to 1 unit sq.  \r<BR>\n" );
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document.write( "height of triangle is equal to diagonal of square = 2^(1/2) \r<BR>\n" );
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document.write( "for isosceles triangle  area = 1/2 * base * height  \r<BR>\n" );
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document.write( "1= 1/2 * base * height\r<BR>\n" );
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document.write( "after solving it...\r<BR>\n" );
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document.write( "  base = 2^(1/2)\r<BR>\n" );
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document.write( "using pythagoras theorem   longest side  = (5/2)^(1/2)\r<BR>\n" );
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document.write( "root(5/2)\r<BR>\n" );
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document.write( "correct option is (d) ...\r<BR>\n" );
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document.write( " </SPAN>\n" );
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