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Triangles of equal perimeters !!

Source: Romania TST 2015 Day 4 Problem 1

June 4, 2015
equal anglesperimeterRomanian TSTgeometry

Problem Statement

Let ABCABC and ABDABD be coplanar triangles with equal perimeters. The lines of support of the internal bisectrices of the angles CADCAD and CBDCBD meet at PP. Show that the angles APCAPC and BPDBPD are congruent.
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