What are the coordinates of the centroid of a triangle with vertices A(−6, 0), B(−4, 4), and C(0, 2)?



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Answer:

The required co-ordinates of the centroid are  (-10/3,2)

Step-by-step explanation:  We are to find the coordinates of the centroid of a triangle with vertices A(−6, 0) , B(−4, 4) , and C(0, 2).

We know that

the co-ordinates of the centroid of a triangle with vertices (a, b), (c, d) and (e, f) are given by

((a+c+e)/3,(b+d+f)/3)

Therefore, the co-ordinates of the centroid of triangle ABC are  (-10/3,2)

Thus, the required co-ordinates of the centroid are (-10/3,2)

Explanation: