ILL 1984 Problem 19

Let $ABC$ be an isosceles triangle with right angle at point $A$ . Find the minimum of the function $F$ given by $F(M) = BM +CM-\sqrt{3}AM$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.