the centroid is the intersection of medians
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The center of gravity of a triangle is its centroid. The centroid of a triangle is the intersection of the three medians.
Intersection of Medians-Centroid Intersection of Altitudes-Orthocentre
centroid
centroid
You simply find the midpoint of each side of the triangle, then you draw a line connecting the midpoints to their opposite corners of the triangle. The intersection of these points will occur at the same point: the centroid.