Acasă > Uncategorized > Punctul lui Brocard si o relatie vectoriala

Punctul lui Brocard si o relatie vectoriala

Fie P un punct in interiorul triunghiului ABC astfel incat \widehat{PAB}\equiv\widehat{PBC}\equiv\widehat{PCA}. Daca AB\cdot\overrightarrow{AP}+BC\cdot\overrightarrow{BP}+CA\cdot\overrightarrow{CP}=\overrightarrow{0}, aratati ca \triangle{ABC} este echilateral.

Claudiu Mindrila, Recreatii Matematice nr. 1/2011

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