Question

Given-In the fig. PS=RT are the medians of tri. PQR and SM//RT
TO PROVE QM=¼PQ
​

Answer 1

Ello user !!!!!

Here is your answer,

===================================================

It is given that RT is the median of triangle PQR. So, TQ=TP

Now, in triangle QRT

S is the mid point 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=1/2TQ

SO,QM= 1/2 *1/2(PQ). (SINCE TQ=1/2PQ)

so, QM=1/4(PQ)

HENCE PROVED

===============================================

HOPE THIS HELPS YOUU :)

AND STAY BLESSED.