Sándor N. Kiss, A distance property of the Feuerbach point and its extension,
Forum Geometricorum, 16 (2016) 283--290.

Abstract. We prove that among the distances from the inner Feuerbach point of a triangle to the midpoints of the three sides, one is equal to the sum of the remaining two. The same is true if the inner Feuerbach point is replaced by any one of the outer Feuerbach points.

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