The points $A (x_1, y_1), B (x_2, y_2)$ and $C (x_3, y_3)$ are the vertices of $\triangle ABC$.
What are the coordinates of the centroid of the triangle ABC?


Given:

The points $A (x_1, y_1), B (x_2, y_2)$ and $C (x_3, y_3)$ are the vertices of $\triangle ABC$.

To do:

We have to find the coordinates of the centroid of the triangle ABC.

Solution:

We know that,

Coordinates of the centroid of a triangle are $(\frac{Sum\ of\ abscissa}{3}, \frac{Sum\ of\ ordinates}{3})$

Therefore,

The coordinates of the centroid of triangle ABC are,

$(\frac{x_1+x_2+x_3}{3}, \frac{y_1+y_2+y_3}{3})$

The coordinates of the centroid of triangle ABC are $(\frac{x_1+x_2+x_3}{3}, \frac{y_1+y_2+y_3}{3})$.

Updated on: 10-Oct-2022

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