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PAMO 2017 Shortlist: Angle bisector in a square

Source: 2017 Pan-African Shortlist - G1

May 5, 2019
geometrysquareangle bisector

Problem Statement

We consider a square ABCDABCD and a point EE on the segment CDCD. The bisector of ∠EAB\angle EAB cuts the segment BCBC in FF. Prove that BF+DE=AEBF + DE = AE.
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