Question

3) In PQR, PM = 15, PQ = 25,
PR = 20, NR = 8.
State whether NM is parallel
to side RQ, Give reason.​

Answer 1

Step-by-step explanation:

Answer

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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 ΔPRQ

NRPR=812

=23

Also, 

MQPM=1015

=23

∴NRPR=MQPM

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