Given an isosceles triangle $T$ with one 120 degree angle and height $h$, draw a line parallel to the base of the triangle (w.r.t $h$) at $\frac{m-1}{m}$ for some $m \in \mathbb{N}$. For all $h$ and $m$, find the maximum number of triangles similar to $T$ to that can be formed in the section below the line.
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