In the given figure, equal sides BA and CA of triangle ABC are produced to Q and P respectively such that AP = AQ. Prove that PB=QC.
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Answered by
102
consider triangle PAB and triangle QAC,
AP=AQ[GIVEN]
angle PAB=angle QAC[vertically opposite angle]
AB=AC
by SAS congruence these triangles are equal
so we can say PB = QC[CPCT]
AP=AQ[GIVEN]
angle PAB=angle QAC[vertically opposite angle]
AB=AC
by SAS congruence these triangles are equal
so we can say PB = QC[CPCT]
Answered by
52
Hope the given picture helps!!
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