Question:

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

Answer:

Given PM = 15, PQ = 25, PR = 20, NR = 8
PQ = PM+MQ
25 = 15+MQ
MQ = 25-15
MQ = 10
PR = PN+NR
20 = PN+8
PN = 20-8
PN = 12
PM/MQ = 15/10 = 3/2
PN/NR = 12/8 = 3/2
In PQR , PM/MQ = PN/NR.
By Converse of basic proportionality theorem , line NM side RQ.

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

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