Question 113
On sides $AB$, $BC$, $AC$ of triangle $ABC$ with $\angle BAC = 120^\circ$ there are points $M$, $K$, $N$ respectively so, that $\triangle MKN$ is equilateral, and $AM = 2,017$, $AN = 2,018$. Baron Munchausen assures, that $\triangle MKN$ has the smallest perimeter of all equilateral triangles, that have exactly one vertex on each of sides of $\triangle ABC$. Is baron right?