# Have a complete solution ?

Geometry Level pending

Let $$\Delta ABC$$ an equilateral triangle with side length $$4$$ cm. Let $$l$$ be any line (coplanar with the triangle) passing through the centroid of the triangle. Find the sum of the squares of distances from the vertices of $$\Delta ABC$$ to the line $$l$$ (in cm$$^{2}$$).

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