Question

In ∆ PQR PM=15 PQ=25
PR=20, NR = 8. state wheather line
NM is parallel to side RQ, Give reason
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Answer 1

Here is your answer.

Hope it helps you.

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.