Three circles of equal radii have been drawn inside an equilateral triangle , of side a , such that each circle touches the other two circles as well as two sides of triangle.
Then find the radius of the circle. I tried but could not get where to start. I think we need to relate the center of circle with either incentre / circumcenter.
Will there be any relation between incentre / circumcenter with the centres of 3 circles?
How i can achieve this? Thanks in advance.