# 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
S_{1}. S_{2} and S_{3} are the areas of triangles ABO
and AED, respectively. Prove that S_{3} = |S_{2 }- S_{1}|.

See solution below