Question 92
As shown in the diagram, in $\triangle ABC$, $\angle A = 60^\circ$, $AB \gt AC$, point $O$ is a circumcenter and $H$ is the intersection point of two altitudes $BE$ and $CF$. Points $M$ and $N$ are on the line segments $BH$ and $HF$ respectively, and satisfy $BM = CN$. Determine the value of $\frac{MH + NH}{OH}$.
