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:
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.
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