Coordinate geometry › Points, distance and midpoints › Centroid and orthocentre coordinates

Centroid distance to a plane

High school · ●●●○○ 50 pts

The vertices AA, BB, CC of an equilateral triangle ABCABC with side length 66 are at distances 11, 22 and 33 from a plane α\alpha. Find all possible distances from the centroid GG of triangle ABCABC to the plane α\alpha. Round each value to two decimal places and give them in increasing order.

Enter the values in any order.

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