5.2.4.15 Various Problems on the Plane

(3) inside the triangle \ (a b c \) an arbitrary point \ (m \) is taken. Find the perimeter of the triangle with the vertices in the centroides of the triangles \ (a b m, b c m \) and \ (a c m \) if the perimeter of the triangle \ (a b c \) is equal \ (2 p \).