document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=265978>Question 265978</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rectangle ABCD shares BC with equilateral triangle BCE.The length<BR>\n" );
document.write( "of CD is 4 cm, and the length of DA is 3 cm.What is the length of BE ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195478 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20056)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=195478\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C250%2C-1%2C7%2C-1%2C4%2C+%0D%0A%0D%0Arectangle%280%2C0%2C4%2C3%29%2C+triangle%284%2C0%2C4%2B3%2Asqrt%283%29%2F2%2C3%2F2%2C4%2C3%29%2C%0D%0Alocate%280%2C0%2CA%29%2C+locate%284%2C0%2CB%29%2C+locate%284%2B3sqrt%283%29%2F2%2C3%2F2%2CE%29%2C%0D%0Alocate%284%2C3.3%2CC%29%2C+locate%280%2C3.3%2CD%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "We are told that CD = 4cm, so we write 4cm on that side,<BR>\n" );
document.write( "and we are told that DA is 3cm, so we write 3cm on that<BR>\n" );
document.write( "side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C250%2C-1%2C7%2C-1%2C4%2C+%0D%0A%0D%0Arectangle%280%2C0%2C4%2C3%29%2C+triangle%284%2C0%2C4%2B3%2Asqrt%283%29%2F2%2C3%2F2%2C4%2C3%29%2C%0D%0Alocate%280%2C0%2CA%29%2C+locate%284%2C0%2CB%29%2C+locate%284%2B3sqrt%283%29%2F2%2C3%2F2%2CE%29%2C%0D%0Alocate%284%2C3.3%2CC%29%2C+locate%280%2C3.3%2CD%29%2C+locate%28-.5%2C1.6%2C3cm%29%2C%0D%0Alocate%282%2C3.3%2C4cm%29%0D%0A%0D%0A%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Since DA and CB are opposit sides of rectangle ABCD, they<BR>\n" );
document.write( "are equal in length, so let's also write 3cm on CB.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C250%2C-1%2C7%2C-1%2C4%2C+%0D%0A%0D%0Arectangle%280%2C0%2C4%2C3%29%2C+triangle%284%2C0%2C4%2B3%2Asqrt%283%29%2F2%2C3%2F2%2C4%2C3%29%2C%0D%0Alocate%280%2C0%2CA%29%2C+locate%284%2C0%2CB%29%2C+locate%284%2B3sqrt%283%29%2F2%2C3%2F2%2CE%29%2C%0D%0Alocate%284%2C3.3%2CC%29%2C+locate%280%2C3.3%2CD%29%2C+locate%28-.5%2C1.6%2C3cm%29%2C%0D%0Alocate%282%2C3.3%2C4cm%29%2C+locate%283.5%2C1.6%2C3cm%29+%0D%0A%0D%0A%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now since we are given that triangle BCE is an equilateral<BR>\n" );
document.write( "triangle, that means that all three of its sides have the same<BR>\n" );
document.write( "length.  Since we know that side CB has length 3cm, then we<BR>\n" );
document.write( "know that the other two sides BE and EC are also 3cm in length:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C250%2C-1%2C7%2C-1%2C4%2C+%0D%0A%0D%0Arectangle%280%2C0%2C4%2C3%29%2C+triangle%284%2C0%2C4%2B3%2Asqrt%283%29%2F2%2C3%2F2%2C4%2C3%29%2C%0D%0Alocate%280%2C0%2CA%29%2C+locate%284%2C0%2CB%29%2C+locate%284%2B3sqrt%283%29%2F2%2C3%2F2%2CE%29%2C%0D%0Alocate%284%2C3.3%2CC%29%2C+locate%280%2C3.3%2CD%29%2C+locate%28-.5%2C1.6%2C3cm%29%2C%0D%0Alocate%282%2C3.3%2C4cm%29%2C+locate%283.5%2C1.6%2C3cm%29%2C%0D%0A%0D%0Alocate%284.7%2C1%2C3cm%29%2C+locate%284.7%2C2.8%2C3cm%29+%0D%0A%0D%0A%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Edwin </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );