A circle is inscribed inside an equilateral triangle touching all the three sides, If the radius of the circle is 2 cm, find the area of the triangle.

• let sides of d triangle = a
  angles are 90, 60, 30 deg
  so, perp =2, hyp = 2*2 = 4
  base = a/2
  so, 4^2 = (a/2)^2 + 2^2
  a=4sqrt(3)
  area =sqrt(3)/4 * a^2
  =12sqrt(3)
• 9 years agoHelpfull: Yes(1) No(2)