document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=810413>Question 810413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the height of an equilateral triangle if all three of it's sides are 24 inches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #488129 by </B><A HREF=/tutors/aboutme.mpl?userid=JBarnum><B>JBarnum(2146)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JBarnum><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=JBarnum><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=488129\">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=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "sides are (a) and (b)<BR>\n" );
document.write( "(c) is longest side<BR>\n" );
document.write( "in triangle FGH<BR>\n" );
document.write( "where point D is between FH so that it splits it evenly in half at a 90 degree angle<BR>\n" );
document.write( "the line FD = line DH<BR>\n" );
document.write( "and line GD is perpendicular to line FH<BR>\n" );
document.write( "side (a) will represent line FD which is half of Line FH. this making it 12 inches.<BR>\n" );
document.write( "side (b) will represent line GD which is the height we are looking for.<BR>\n" );
document.write( "side (c) will represent line FG and the size is unchanged at 24 inches <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%5E2%2Bb%5E2=24%5E2 ALIGN=MIDDLE  ALT=\"12%5E2%2Bb%5E2=24%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144%2Bb%5E2=576 ALIGN=MIDDLE  ALT=\"144%2Bb%5E2=576\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=432 ALIGN=MIDDLE  ALT=\"b%5E2=432\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28b%5E2%29=sqrt%28432%29 ALIGN=MIDDLE  ALT=\"sqrt%28b%5E2%29=sqrt%28432%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "432=2*2*2*2*3*3*3=(4^2)(3^2)3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%283%283%5E2%29%284%5E2%29%29 ALIGN=MIDDLE  ALT=\"b=sqrt%283%283%5E2%29%284%5E2%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=b=12sqrt%283%29 ALIGN=MIDDLE  ALT=\"b=12sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );