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TR-MO-R1 2020 Problem 9

    Bir ABCABC üçgeninin [BC][BC] kenarı üzerinde alınan bir DD noktası için m(BAD^)=120∘m(\widehat{BAD}) = 120^\circ ve m(CAD^)=30∘m(\widehat{CAD}) = 30^\circ'dir. ∣AD∣=6|AD| = 6 ve ∣DC∣=21|DC| = 21 ise, ∣AB∣|AB| kaçtır?

    a) 9 b) 10 c) 11 d) 12 e) 13

    Official text Turkish Mathematical Olympiad, first round 2020 official paper, page 6. Quoted with source.

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