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Answer:
AP:PB = AQ:QC = 1:2
Therefore by converse of Thale's Theorem
PQ||BC
So ∆APQ ~∆ABC
PQ:BC
=AP:AB
=2:(2+4)
=2:6
=1:3
So PQ:BC = 1:3
=> BC = 3PQ
Hence proved.
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