Question

In triangle PQR, PM=15, PQ=25, PR=20, NR =8 state whether line NM ia parallel to side RQ . give reason

Answer 1

inadequate data. the point N or M not mentioned specifically. So can't determine if NM is parallel to Side RQ.

Answer 2

Answer:

Given:

PM = 15,

PQ = 25,

PR = 20 and NR = 8

Now, PN = PR − NR

= 20 − 8

= 12

Also, MQ = PQ − PM

= 25 − 15

= 10

In △PRQ, PR/NR=12/8

=3/2

Also,PM/MQ=15/10

=3/2

∴PR/NR=PM/MQ

By converse of basic proportionality theorem, NM is parallel to side RQ or NM || RQ.