1. Mathematics
2. Geometry and Topology
3. Geometric Shapes
4. Triangles
5. 409615

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Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians, which is the point that lies one-third of the way from each side toward the opposite vertex. Find the centroid of the triangle whose vertices are (0,0), (a,0) and (0,b). Assume a > 0 and b >0.