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C is the midpoint of Aqand CD is parallel to Qr--d is the midpoint ofBr
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in triangle PQR according to basic proportionality theorem as CD is parallel to QR that implies PC/CQ=PD/DR,as we know that PA=AC=CQ,that implies PC is twice of CQ that implies PC/CQ=2=PD/DR ,that implies PD =2DR.
in triangle PCD according to basic proportionality theoram as AB parallel to CD we can say that PA/AC=PB/BD,as we know PA=AC we can say that PA/AC=PB/BD=1,that implies PB=BD=DR
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