document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175874>Question 1175874</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The vertices of a cube of side length 2cm are connected to form a triangle as shown. What is the area of the triangle?\r<BR>\n" );
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document.write( "Image- https://media.discordapp.net/attachments/802751414874537995/814628051726893166/AAAAAElFTkSuQmCC.png </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #801600 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=801600\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "here you have equaterial triangle and side length is equal to the  diagonal of a cube\r<BR>\n" );
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document.write( "if a cube of side length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2cm ALIGN=MIDDLE  ALT=\"2cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, diagonal is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28%282cm%29%5E2%2B%282cm%29%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28%282cm%29%5E2%2B%282cm%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%284cm%5E2%2B4cm%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%284cm%5E2%2B4cm%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%282%2A4%29cm ALIGN=MIDDLE  ALT=\"d=sqrt%282%2A4%29cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=2sqrt%282%29cm ALIGN=MIDDLE  ALT=\"d=2sqrt%282%29cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=> equal to the side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a equaterial  triangle\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2sqrt%282%29cm ALIGN=MIDDLE  ALT=\"a=2sqrt%282%29cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "we need height of a triangle\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%28a%5E2-%28a%2F2%29%5E2%29 ALIGN=MIDDLE  ALT=\"h=sqrt%28a%5E2-%28a%2F2%29%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=h=sqrt%28%282sqrt%282%29%29%5E2-%282sqrt%282%29%2F2%29%5E2%29 ALIGN=MIDDLE  ALT=\"h=sqrt%28%282sqrt%282%29%29%5E2-%282sqrt%282%29%2F2%29%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=h=sqrt%288-%288%2F4%29%29 ALIGN=MIDDLE  ALT=\"h=sqrt%288-%288%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%288-2%29 ALIGN=MIDDLE  ALT=\"h=sqrt%288-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%286%29 ALIGN=MIDDLE  ALT=\"h=sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " the area of the triangle:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=ah%2F2 ALIGN=MIDDLE  ALT=\"A=ah%2F2\"   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=A=%28sqrt%288%29%2Asqrt%286%29%29%2F2 ALIGN=MIDDLE  ALT=\"A=%28sqrt%288%29%2Asqrt%286%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=2+sqrt%283%29cm%5E2 ALIGN=MIDDLE  ALT=\"A=2+sqrt%283%29cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >->exact solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=3.46cm%5E2 ALIGN=MIDDLE  ALT=\"A=3.46cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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