Cercuri tangente si patrulatere inscriptibile

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Filip Chindea
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Cercuri tangente si patrulatere inscriptibile

Post by Filip Chindea »

Fie \( ABCD \) convex, \( P \in (AB) \) si \( \omega(I) \) cercul inscris in \( CPD \). Presupunem ca \( \omega \) este tangent cercurilor inscrise in \( APD \) si \( BPC \) in \( K, L \) respectiv. Notam \( E \in AC \cap BD, F \in AK \cap BL \). Aratati ca \( E, I, F \) sunt coliniare.

[ IMO Shortlist 2007, G8 si Teste tip OIM 2008 - Problema 3/Test 2 ]
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