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ok here is your answer
Step-by-step explanation:
It is given that RT is the median of the triangle PQR.
Now,in triangle QRT
S is the midpoint of QR (it is given that PS is the median,so,QS=RS)
and SM is also parallel to TR (given)
so by converse of midpoint theorem M is the mid point of TQ
Hence,QM=1/2TQ
So,QM=1/2+1/2PQ(since TQ=1/2PQ)
So,QM=1/4PQ (proved).
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