MathDB

46

Part of 1990 IMO Longlists

Problems(1)

Find P such that area of triangle is as large as possible

Source:

9/13/2010
For each PP inside the triangle ABCABC, let A(P),B(P)A(P), B(P), and C(P)C(P) be the points of intersection of the lines AP,BPAP, BP, and CPCP with the sides opposite to A,BA, B, and CC, respectively. Determine PP in such a way that the area of the triangle A(P)B(P)C(P)A(P)B(P)C(P) is as large as possible.
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