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QS and RT are medians (given) So, this simplies that QT=PT and PS=RS. Now,PQ=PR so angle pqr=angle prq (angles opp. to equal sides are equal ). take ∆QRT and ∆QSR QT=SR(both r medians of equal sides) angle TQR= angle SRQ (proved) QR =RQ (common) so by SAS congurancy ∆QRT=~∆RQS. QS=RT (by CPCT). Proved
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