Question 319824
The apothem of the triangle is equal to the radius of the inscribed circle and related to the side, {{{s}}}, by,
{{{ap=(sqrt(3)*s)/6=6}}}
{{{s=36/sqrt(3)}}}
The area of the triangle is 
{{{A=(sqrt(3)/4)*s^2}}}
{{{A=(sqrt(3)/4)*(36/sqrt(3))^2}}}
{{{A=108sqrt(3)}}}cm^2