The centroid of Tetraheadron $(3, 4, 5), (2, 5, 9), (5, 2, 8), (2, 5, 2)$ is

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Solution

The points of Tetraheadron are $(3, 4, 5), (2, 5, 9), (5, 2, 8), (2, 5, 2)$
Centroid is given as $(\frac{\sum x_{i}}{4}, \frac{\sum y_{i}}{4}, \frac{\sum z_{i}}{4}) (\frac{3 + 2 + 5 + 2}{4}, \frac{4 + 5 + 2 + 5}{4}, \frac{5 + 9 + 8 + 2}{4}) (\frac{12}{4}, \frac{16}{4}, \frac{24}{4}) = (3, 4, 6)$

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