document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001137>Question 1001137</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the surface area of a tetrahedran when the slant height is 10 in?<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 #618396 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=618396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Find the surface area of a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28tetrahedron%29 ALIGN=MIDDLE  ALT=\"highlight%28tetrahedron%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > when the slant height is 10 in?<BR>\n" );
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document.write( "Probably, &nbsp;you mean a regular tetrahedron which has all edges congruent?\r<BR>\n" );
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document.write( "(Otherwise the question has no a unique answer . . . ).\r<BR>\n" );
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document.write( "Why do not formulate it directly, &nbsp;clearly and explicitly? &nbsp;Why I should do it instead of you?\r<BR>\n" );
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document.write( "Such a tetrahedron has four faces, &nbsp;and each of them is a regular triangle with the altitude of &nbsp;10 in. \r<BR>\n" );
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document.write( "Hence, &nbsp;the base of each such a triangle is of &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2A10%29%2Fsqrt%283%29 ALIGN=MIDDLE  ALT=\"%282%2A10%29%2Fsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > in. &nbsp;(It is the length of the edge of the regular tetrahedron). \r<BR>\n" );
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document.write( "Then the area of a single triangle &nbsp;(of a single face) &nbsp;is &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fsqrt%283%29 ALIGN=MIDDLE  ALT=\"20%2Fsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2Fsqrt%283%29 ALIGN=MIDDLE  ALT=\"100%2Fsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;square inches. \r<BR>\n" );
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document.write( "Hence, &nbsp;the surface are of the tetrahedron is &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2A100%29%2Fsqrt%283%29 ALIGN=MIDDLE  ALT=\"%284%2A100%29%2Fsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400%2Fsqrt%283%29 ALIGN=MIDDLE  ALT=\"400%2Fsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=in%5E2 ALIGN=MIDDLE  ALT=\"in%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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