Question

in the adjacent figure triangle abc is isoscles as AB=AC, BA and CA are produced to Q and P such that AQ=AP. show that PB=QC.
(hint: compare triangle APB and triangle AQC.)
pls answer fast and correctly

Answer 1

In triangle APB and triangle AQC,

i) BA = BC ( Given)
ii) AP = AQ (Given)
iii)Angle PAB = Angle QAC ( Vertically opposite angles)

Therefore,
Triangle APB = Triangle AQC ( SAS)

Therefore,
PB = QC ( CPCT) {Proved}