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Louiscahyadi

Kontes Terbuka Olimpiade Matematika - Maret 2017 - Bagian B Nomor 3

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Diberikan lingkaran $C$ dan titik $A$ diluar $C$. Dipilih titik $P,Q,R$ pada $C$ sehingga $\triangle PQR $ samasisi. Buktikan bahwa nilai $AP^2 +AQ^2+AR^2$ tidak bergantung pada pemilihan $P,Q,R$.

 

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