Question

The median PS of a triangle PQR is bisected at L and QL is produced to meet PR at M. Prove that LM=(1÷4) QM.​

Answer 1

Answer:

QM= 4/1 (PQ)

Step-by-step explanation:

It is given that RT is the median of 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 parallel to TR (also given)

So by converse of mid point theorem

M is the mid point of TQ

Hence, QM= 2/1 TQ

So, QM= 2/1+ 2/1(PQ) (Since TQ= 2/1 PQ)

So, QM= 4/1 (PQ)

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