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TR-MO-R1 2019 Problem 21

    m(ACB^)=90∘m(\widehat{ACB}) = 90^\circ olan bir ABCABC dik üçgeninde CC ye ait yükseklik ayağı DD olmak üzere ∣AD∣=8|AD| = 8 ve ∣BD∣=17|BD| = 17 dir. ACB^\widehat{ACB} ve CDB^\widehat{CDB} açılarının iç açıortaylarının kesişim noktası EE ise, ∣CE∣|CE| kaçtır?

    a) 15 b) 14 c) 12 d) 10 e) 9

    Official text Turkish Mathematical Olympiad, first round 2019 official paper, page 12. Quoted with source.

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