document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151111>Question 1151111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the diagram below, point X is the intersection of the two diagonals TW and UV of the cubical box illustrated. The shortest distance from point T to point Z is 4 sqrt3 cm. Find the area in cm2, of triangle XYZ.\r<BR>\n" );
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document.write( "Diagram: https://imgur.com/a/ciK5pIK<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #772730 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=772730\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "TZ is the space diagonal of the cube.  Given its length as 4*sqrt(3), the side of the cube has length 4.<br><BR>\n" );
document.write( "Picture points A and B as the midpoints of VW and YZ, respectively.   Then AB=4, AX=2, and BX is the altitude of triangle XYZ.<br><BR>\n" );
document.write( "Use the Pythagorean Theorem to find the length of altitude BX; then the area of triangle XYZ is one-half base times height....<br><BR>\n" );
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