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วันอังคารที่ 4 กันยายน พ.ศ. 2550

IMO 2006 Day2 Problem6

Problem 6. Assign to each side b of a convex polygon P the maximum area of a triangle
that has b as a side and is contained in P. Show that the sum of the areas assigned to
the sides of P is at least twice the area of P.

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