TR-MO-R1 2008 Problem 9

$ABCD$ karesinin dışında bir $E$ noktası verilmiştir. $m(\widehat{BEC}) = 90^o$ , $F \in [CE]$ , $[AF] \perp [CE]$ , $|AB| = 25$ ve $|BE| = 7$ olduğuna göre $|AF|$ kaç birimdir?

a) 29 b) 30 c) 31 d) 32 e) 33

Official text Turkish Mathematical Olympiad, first round 2008 official paper, page 4. Quoted with source.

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