In A POR, PM = 15, PO = 25
PR = 20, NR = 8. State whether line
NM is parallel to side RQ. Give
reason.
Answers
Answered by
5
Step-by-step explanation:
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
NR
PR
=
8
12
=
2
3
Also,
MQ
PM
=
10
15
=
2
3
∴
NR
PR
=
MQ
PM
By convers of basic proportionality theorem , NM is parallel to side RQ or NM || RQ .
hope it helps
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