Problem #431

Triangles ratio
Public 10/01/17 5xp Math 41.4%

ABC is an equilateral triangle. DEF is another equilateral triangle with its two vertices (E, F) on the circumcircle of ABC and its third vertex (D) on the AB segment.
O is the circumcenter of ABC.

What is the ratio area(ABC)/area(DEF)?

Answer format: number rounded to 5 digits after the decimal point.

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