Question

Fig. 1.33
Fig. 1.34
Р
In A POR, PM = 15, PQ = 25
PR = 20, NR = 8. State whether line
M
N
NM is parallel to side RQ. Give
R.
Fig. 1.36
reason.​

Answer 1

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.