When the three medians of the triangle are drawn, they meet at a single point. What is the point of the centroid? Leave all results in fractions. (1 point) centroid= (,)
The point of the centroid is the point of intersection of the three medians of the triangle. The centroid is the point of concurrency of the medians.
Let's denote the vertices of the triangle as A, B, and C. The medians are the line segments that connect each vertex to the midpoint of the opposite side. Let's call the midpoint of side BC as D, the midpoint of side AC as E, and the midpoint of side AB as F.
The coordinates of the centroid G can be found by finding the average of the coordinates of the vertices.
The x-coordinate of the centroid G is given by: (x-coordinate of A + x-coordinate of B + x-coordinate of C) / 3
Similarly, the y-coordinate of the centroid G is given by: (y-coordinate of A + y-coordinate of B + y-coordinate of C) / 3
Therefore, the coordinates of the centroid G are:
G = ((x-coordinate of A + x-coordinate of B + x-coordinate of C) / 3, (y-coordinate of A + y-coordinate of B + y-coordinate of C) / 3)