The $ z $-coordinate of the centroid is $ \frac{11}{3} $. Since the average elevation is given as 12, and elevation is proportional to the $ z $-coordinate, we assume linear interpolation over the triangle. The centroid gives the average value of linear interpolation, so the elevation at the centroid equals the average elevation:

Mon, 04 May 2026 09:00:00 +0000

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