Final answer:
The centroid of a triangle is the point of intersection of its medians. To find the coordinates of the centroid, use the average of the x and y coordinates of the vertices of the triangle.
Step-by-step explanation:
The centroid of a triangle is the point of intersection of its medians. The medians of a triangle are the lines connecting each vertex to the midpoint of the opposite side.
To find the coordinates of the centroid, you can use the average of the x-coordinates and the average of the y-coordinates of the three vertices of the triangle.
Let A(x1, y1), B(x2, y2), and C(x3, y3) be the three vertices of the triangle. The x-coordinate of the centroid is (x1 + x2 + x3) / 3, and the y-coordinate of the centroid is (y1 + y2 + y3) / 3.