Math Infographic, Geometry Problem 1345: Three Equilateral Triangles, Center, Area, Common Vertex, 60 Degrees

Proposition

The figure shows three equilateral triangles: ABC with center O, CDE, and OEF with area S1. S2 and S3 are the areas of triangles ABO and AED, respectively. Prove that S3 = |S2 - S1|.


Math Infographic, Geometry Problem 1345: Three Equilateral Triangles, Center, Area, Common Vertex, Tutoring