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Source: IZO 1 Junior, Problem 5

January 22, 2008
geometryperimeterconicsanalytic geometrylinear algebraparallelogram

Problem Statement

Let the circle (I;r) (I; r) be inscribed in the triangle ABC ABC. Let D D be the point of contact of this circle with BC BC. Let E E and F F be the midpoints of BC BC and AD AD, respectively. Prove that the three points I I, E E, F F are collinear.
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