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TR-MO-R1 2008 Problem 29

    ABCDABCD konveks dörtgeninde [AB][AB] ile [CD][CD] paralel değildir. [AD][AD] nin orta noktası EE, [BC][BC] nin orta noktası FF dir. ∣CD∣=12|CD| = 12, ∣AB∣=22|AB| = 22 ve ∣EF∣=x|EF| = x olduğuna göre, xx in alabileceği tamsayı değerlerinin toplamı kaçtır?

    a) 110 b) 114 c) 118 d) 121 e) Hiçbiri

    Official text Turkish Mathematical Olympiad, first round 2008 official paper, page 9. Quoted with source.

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