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        riddles >> medium >> girls' geometry problem
        
(Message started by: cool_joh on Dec 18th, 2008, 5:30am)
Title: girls' geometry problem
Post by cool_joh on Dec 18th, 2008, 5:30am
An acute triangle ABC has three heights AD, BE and CF respectively. Prove that the perimeter of triangle DEF is not over half of the perimeter of triangle ABC.

Source: China Girls' Mathematical Olympiad 2002


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