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Intersection of Medians-Centroid Intersection of Altitudes-Orthocentre
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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.
The point equidistant from the three sides of a triangle is the center of the triangle. The center of the triangle is the point of intersection of the medians of the triangle. The medians of a triangle are the line segments that join the vertices of the triangle to the midpoints of the opposite sides.
Any triangle has 3 medians Another answer (depending on what you are looking for) is that a triangle has concurrent medians (which means all three medians intersect at a single point).