document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1074875>Question 1074875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> OABC is a tetrahedron whose faces are identical equilateral triangles of sides 8 cm each .Find its slant height. Leaving your answer correct to 3 significant figures  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #689709 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=689709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The slant height is the height of the equilateral triangles of sides 8 cm each, that are the sides of that pyramid.<BR>\n" );
document.write( "(Of course, the base is also an equilateral triangles of sides 8 cm each).<BR>\n" );
document.write( "The height can be calculated using the Pythagorean theorem,<BR>\n" );
document.write( "or using trigonometry.<BR>\n" );
document.write( "For any equilateral triangle,<BR>\n" );
document.write( "the height is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29%2F2=about+0.866 ALIGN=MIDDLE  ALT=\"sqrt%283%29%2F2=about+0.866\"   DISABLED_style= \"max-width:90%; height:auto;\" > times the length of the side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-1%2C11%2C-2%2C10%2C%0D%0Agreen%28triangle%280%2C0%2C5%2C0%2C5%2C8.66%29%29%2C%0D%0Agreen%28rectangle%285%2C0%2C4.6%2C0.4%29%29%2C%0D%0Atriangle%280%2C0%2C10%2C0%2C5%2C8.66%29%2C%0D%0Alocate%282.4%2C0.6%2C4%29%2Clocate%287.4%2C0.6%2C4%29%2C%0D%0Alocate%282.5%2C4.4%2C8%29%2Clocate%287.2%2C4.4%2C8%29%2C%0D%0Alocate%285.1%2C4.2%2Cgreen%28h%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > for that triangle, the Pythagorean theorem says <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E2%2Bh%5E2=8%5E2 ALIGN=MIDDLE  ALT=\"4%5E2%2Bh%5E2=8%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2Bh%5E2=64 ALIGN=MIDDLE  ALT=\"16%2Bh%5E2=64\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2=64-16 ALIGN=MIDDLE  ALT=\"h%5E2=64-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > --->. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2=48 ALIGN=MIDDLE  ALT=\"h%5E2=48\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%2848%29 ALIGN=MIDDLE  ALT=\"h=sqrt%2848%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=approximately ALIGN=MIDDLE  ALT=\"h=approximately\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%286.93%29 ALIGN=MIDDLE  ALT=\"highlight%286.93%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (correct to 3 significant figures ). </SPAN>\n" );
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