Question

In triangle PQR , PM 15 ,PQ 25 PR 20 , MR 8 . State whethere line NM is parallel to side RQ Give reason

Answer 1

no NM is not parallel to 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.