MathDB

2

Part of 1936 Eotvos Mathematical Competition

Problems(1)

S centroid if [ABS]=[BCS]=[CAS]

Source: Eotvos 1936 p2

9/10/2024
SS is a point inside triangle ABCABC such that the areas of the triangles ABSABS, BCSBCS and CASCAS are all equal. Prove that SS is the centroid of ABCABC.
geometryequal areasCentroid