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The centroid of a triangle refers to the intersection of the lines connecting the three vertices of the triangle, that is, the intersection of the three medians, which can divide the triangle into three triangles of equal area. The centroid is on the line connecting the centroid, incenter, and circumcenter of the triangle, and the distance from the centroid is 2/3 of the distance from the centroid to the vertex.

To calculate the centroid of a triangle, you can follow the steps below:

Enter the coordinates of the three vertices of the triangle. For example, the coordinates of vertex A are (x1, y1), the coordinates of vertex B are (x2, y2), and the coordinates of vertex C are (x3, y3).

Calculate the coordinates of the center point of the triangle, that is, the average of the coordinates of the three vertices. The coordinates of the center point are ((x1+x2+x3)/3, (y1+y2+y3)/3).

Take the coordinates of the center point as the coordinates of the centroid.

Through the above steps, you can calculate the coordinates of the centroid of the triangle, that is, the coordinates of the intersection of the three vertices.