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An equilateral triangle PQR is circumscr...

An equilateral triangle PQR is circumscribed about a given `DeltaABC.` Prove that the maximum area of `Delta PQR` is ` 2 Delta + (a^(2) +b^(2)+c^(2))/(2sqrt3)).` Where a,b,c are the sides of `Delta ABC an Delta` is its area.

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