OJM 2010 Problema III

Moderators: Bogdan Posa, Laurian Filip

Post Reply
User avatar
Andi Brojbeanu
Bernoulli
Posts: 294
Joined: Sun Mar 22, 2009 6:31 pm
Location: Targoviste (Dambovita)

OJM 2010 Problema III

Post by Andi Brojbeanu »

Se considera triunghiul \( ABC \) cu \( AB=AC \) si \( \angle{BAC}=40\textdegree \). Punctele \( S \) si \( T \) se afla pe laturile \( AB \), respectiv \( BC \), astfel incat \( \angle{BAT}=\angle{BCS}=10\textdegree \). Dreptele \( AT \) si \( CS \) se intersecteaza in punctul \( P \). Demonstrati ca \( BT=2PT \).
Gabriel Popa
Andi Brojbeanu
profesor, Liceul Teoretic "Lucian Blaga", Cluj-Napoca
Top
Post Reply

Return to “Clasa a VII-a”