Question

In angle PQR PM = 15 PQ= 25 PR= 20 NR = 8 STATE WHETHER LINE NM IS PARALLEL TO SIDE RQ STATE REASON

Answer 1

Yes it lies 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.