MathDB
Feuerbach point

Source: Iranian National Olympiad (3rd Round) 2008

September 12, 2008
geometryEulergeometry proposed

Problem Statement

Let D,E,F D,E,F be tangency point of incircle of triangle ABC ABC with sides BC,AC,AB BC,AC,AB. DE DE and DF DF intersect the line from A A parallel to BC BC at K K and L L. Prove that the Euler line of triangle DKL DKL passes through Feuerbach point of triangle ABC ABC.
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