KnowraCentroidLinked fromLinked fromThe 22 pages that link to Centroid, each with the reason it gives.All 22Broader topic 6Related 9Compared with 7Affine geometryBroader topic: A triangle's centroid is an affine combination of its vertices.Ceva's theoremBroader topic: Each median bisects its opposite side, so the three equal division ratios satisfy Ceva's condition.Triangle centersBroader topic: It is the center obtained from vertex-to-midpoint constructions.Viviani's theoremBroader topic: In an equilateral triangle, the centroid is equally distant from all three sides, so each distance is one-third of the altitude.Pappus's centroid theoremBroader topic: Its path during rotation supplies the distance multiplying the region’s area.Apollonius's theoremBroader topic: The median length relation can be combined with the centroid's position to relate vertex distances to the centroid.