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Junior Regional Olympiad - FBH 2015 Grade 8 Problem 3

Source:

October 1, 2018
geometrymidpoint

Problem Statement

Let DD be a midpoint of BCBC of triangle ABCABC. On side ABAB is given point EE, and on side ACAC is given point FF such that ∠EDF=90∘\angle EDF = 90^{\circ}. Prove that BE+CF>EFBE+CF>EF
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