Can anyone find the area of this triangle ?

12Sqrt(3) 

This is because we can find the height and base of the triangle by using 30-60-90 triangles. Because the center point bisects the 60 degree angles in each corner, we can make 30-60-90 triangles. Then using porportions, you'll find the height of the triangle is 6 and the base is 4sqrt(3). Then use the area of a triangle formula.