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1. Centroid distance to a plane ●●●○○ 50 ptsThe vertices $A$, $B$, $C$ of an equilateral triangle $ABC$ with side length $6$ are at distances $1$, $2$ and $3$ from a plane $\alpha$. Find all possible distances from the centroid $G$ of triangle $ABC$ to the plane $\alpha$. Round each value to two decimal places and give them in increasing order.