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
areaS1. S2 and S3 are the areas of triangles ABO
and AED, respectively. Prove that S3 = |S2 - S1|.