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Circumscribed about the same circle C

Source: IMO LongList 1988, France 5, Problem 13 of ILL

October 22, 2005
calculusgeometry unsolvedgeometry

Problem Statement

Let TT be a triangle with inscribed circle C.C. A square with sides of length aa is circumscribed about the same circle C.C. Show that the total length of the parts of the edge of the square interior to the triangle TT is at least 2ā‹…a.2 \cdot a.
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