Concurrence

A question about angle bisectors Consider a △ABC in which D, E and F are the midpoints of the sides BC, CA and AB respectively. Let G be the centroid of triangle ABC, i.e., the point of intersection of the medians AD, BE and CF. It is well-known that G is also the centroid of triangle DEF. If, instead of being the midpoints, the points D, E and F are the points of intersection of the internal bisectors of

This article continues the theme of offering multiple proofs of a single result, following entirely different themes and different starting points.

This continues the ‘Proof’ column begun earlier. In this ‘episode’ we study some results from geometry related to the theme of concurrence.

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