# Equilateral makes it easy 2

Geometry Level 4

There is a point $$P$$ on the circumcircle of an equilateral $$\triangle{ABC}$$ such that the point $$P$$ does not coincides with any of the vertices of the $$\triangle{ABC}$$ .If $$PA$$ is maximum of $$PA$$,$$PB$$,$$PC$$and $$PA=24$$, find the perimeter of $$\triangle{ABC}$$?

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