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concurrency of 2 perp. and 1 perp. bisector (2014 NZOMC Camp Sel. p2)

Source:

January 10, 2021
geometryconcurrencyperpendicular

Problem Statement

Let ABCABC be a triangle in which the length of side ABAB is 44 units, and that of BCBC is 22 units. Let DD be the point on ABAB at distance 33 units from AA. Prove that the line perpendicular to ABAB through DD, the angle bisector of ∠ABC\angle ABC, and the perpendicular bisector of BCBC all meet at a single point.
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