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BE + CF \geq 2EF

Source: 10.3 of XX Geometrical Olympiad in honour of I.F.Sharygin

August 7, 2024
geogeometryInequality

Problem Statement

Let BEBE and CFCF be the bisectors of a triangle ABCABC. Prove that 2EF≤BF+CE2EF \leq BF + CE.
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