ABC is an isosceles triangle with AB=AC. P and Q are points on AB and AC respectively such that AP=AQ. Prove that CP=BQ. Share with your friends Share 2 Ashwini Kumar answered this ABC is an isosceles triangle with AB=ACAnd AP=AQNow,AB=AC⇒AB-AP=AC-AP⇒AB-AP=AC-AQ⇒BP=CQNow,In △PBC and △QCB,BP=CQBC=BC∠PBC=∠QCB∴△PBC≅△QCB⇒PC=QBHence, CP=BQ 8 View Full Answer Swagat Swargari answered this In triangle APC and triangle AQB, AP = AQ (given) <A = <A (common) AC = AB (given) so, triangle APC congruent triangle AQB so CP = BQ (by CPCT) [proved] 3