Find the centroid of ∆ABC whose vertices are


Find the centroid of ∆ABC whose vertices are A(2, 2), B(−4, −4) and C(5, −8).


The given points are A(2, 2), B(−4, −4) and C(5, −8).

Here, $\left(x_{1}=2, y_{1}=2\right), \quad\left(x_{2}=-4, y_{2}=-4\right)$ and $\left(x_{3}=5, y_{3}=-8\right)$

Let $G(x, y)$ be the centroid of $\Delta A B C$. Then,







Hence, the centroid of $\Delta A B C$ is $G\left(1, \frac{-10}{3}\right)$.


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