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The Centroid

Find the cent...

Question

Find the centroid of tetrahedron whose vertices are $A (4, 2, 6), B (6, 7, 8), C (5, 11, 20)$ & $D (5, 8, 6)$ .

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Solution

Centroid is given as $(\frac{x_{1} + x_{2} + x_{3} + x_{4}}{4}, \frac{y_{1} + y_{2} + y_{3} + y_{4}}{4}, \frac{z_{1} + z_{2} + z_{3} + z_{4}}{4}) (\frac{4 + 6 + 5 + 5}{4}, \frac{2 + 7 + 11 + 8}{4}, \frac{6 + 8 + 20 + 6}{4}) (\frac{20}{4}, \frac{28}{4}, \frac{40}{4}) (5, 7, 10)$

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