document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=978146>Question 978146</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the inradius of an equilateral triangle whose one side length is 2 is?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #599719 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=599719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Connecting the center of the inscribed circle to the vertices,<BR>\n" );
document.write( "and to the midpoints of the sides,<BR>\n" );
document.write( "divides the equilateral triangle into<BR>\n" );
document.write( "three congruent isosceles triangles,<BR>\n" );
document.write( "three congruent kites,<BR>\n" );
document.write( "six congruent right triangles,<BR>\n" );
document.write( "all of them with the center of the circle for a vertex.<BR>\n" );
document.write( "I drew some of that below.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C250%2C-1.2%2C1.2%2C-0.223%2C1.777%2C%0D%0Acircle%280%2C0.577%2C0.577%29%2C%0D%0Atriangle%280%2C1.732%2C-1%2C0%2C0%2C0%29%2C%0D%0Atriangle%280%2C1.732%2C0%2C0%2C1%2C0%29%2C%0D%0Atriangle%280%2C0.577%2C-1%2C0%2C1%2C0%29%2C%0D%0Ared%28triangle%280%2C0.577%2C-1%2C0%2C0%2C0%29%29%2C%0D%0Arectangle%28-0.1%2C0%2C0%2C0.1%29%2C%0D%0Ared%28arc%28-1%2C0%2C0.7%2C0.7%2C-30%2C0%29%29%2C%0D%0Alocate%28-.65%2C0.18%2Cred%2830%5Eo%29%29%2C%0D%0Alocate%28-.54%2C-0.1%2C1%29%2Clocate%280.46%2C-0.1%2C1%29%2C%0D%0Aarrow%280%2C-.1%2C-1%2C-0.1%29%2Carrow%28-1%2C-0.1%2C0%2C-.1%29%2C%0D%0Aarrow%280%2C-.1%2C1%2C-0.1%29%2Carrow%281%2C-0.1%2C0%2C-.1%29%2C%0D%0Alocate%280.05%2C.28%2Cradius%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > In the red triangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2830%5Eo%29=radius%2F1 ALIGN=MIDDLE  ALT=\"tan%2830%5Eo%29=radius%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2830%5Eo%29=sqrt%283%29%2F3=avbout+0.577 ALIGN=MIDDLE  ALT=\"tan%2830%5Eo%29=sqrt%283%29%2F3=avbout+0.577\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=radius=sqrt%283%29%2F3=avbout+0.577 ALIGN=MIDDLE  ALT=\"radius=sqrt%283%29%2F3=avbout+0.577\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );