Find the centroid of the triangle whose vertices are: (1, 4) (-1,… - Vidyadip

Question

Find the centroid of the triangle whose vertices are:
$(1, 4) (-1, -1), (3, -2).$

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Answer

We know that the coordinates of the centroid of a triangle whose vertices are $\left(x_1, y_1\right),\left(x_2, y_2\right),\left(x_3, y_3\right)$ are, $\left(\frac{x_1+x_2+x_3}{3}, \frac{y_1+y_2+y_3}{3}\right)$
So, the coordinates of the centroid of a triangle whose vertices are $(1,4),(-1,-1)$ and $(3,-2)$ are $\left(\frac{1-1+3}{3}, \frac{4-1-2}{3}\right)$ $=\left(1, \frac{1}{3}\right)$

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