# 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\(^{2}\)).