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KTO Matematika

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

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Diberikan segitiga $ABC$ dengan $AB < AC$. Lingkaran yang berpusat di $A$ dengan jari-jari $AC$ memotong $BC$ di $C'$. Jika $O$ dan $O'$ adalah titik pusat lingkaran luar

$ABC$ dan $ABC'$ berturut-turut. Buktikan bahwa $AB$ membagi dua $OO'$

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