Can you solve this problem?(You must be good in English)

Bùi Quang Tú
(tutoan)

New Member
Let ABC be an acute-angled triangle. Let L be any line in the plane of the triangle ABC. Denote by u, v, w the lengths of the perpendiculars to L from A, B, C respectively. Prove the inequality u2·tan A+v2·tan B+w2·tan C≥ 2· S, where S is the area of the triangle ABC. Determine the lines L for which equality holds.
 
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