Find the centroids of the triangles whose vertices are given below.(-7, 6), (2, -2), (8, 5)

Explanation:-

To find the centroid of a triangle with given coordinates, we need to take the average of the x-coordinates and the average of the y-coordinates of the three vertices of the triangle.

Let’s consider the given coordinates, which are (-7, 6), (2, -2), and (8, 5). To find the centroid, we need to take the average of the x-coordinates and the y-coordinates of these three points separately.

Average of the x-coordinates:

= (-7 + 2 + 8) / 3

= 3 / 3

= 1

So, the x-coordinate of the centroid is 1.

Average of the y-coordinates:

= (6 – 2 + 5) / 3

= 9 / 3

= 3

So, the y-coordinate of the centroid is 3.

Therefore, the centroid of the triangle formed by the given coordinates is (1, 3).