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Equilateral triangle ABC with a side-len...

Equilateral triangle ABC with a side-length of 2 is inscribed in `30^@–60^@-90^@` triangle DEF such that each of its vertices is on a different side of triangle DEF and none of them is coincident with a vertex of triangle DEF. If one side of the equilateral triangle is parallel to the shortest side of triangle DEF, then the area of triangle DEF is

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