In triangle MRS, PQ || Rs and MP/PR = 2/3, If MS = 4.5 cm. Find MQ
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Answer:
In △ PQR, M and N are points on sides PQ and PR respectively such that PM = 15 cm and NR = 8 cm. If PQ = 25 cm and PR = 20 cm state whether MN ∥ QR.
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ANSWER
We have, PM=15cm,NR=8cm,PQ=25cm and PR=20cm
Now,
MQ=PQ−PM=25−15=10cm and PN=PR−NR=20−8=12cm
Hence,
MQ
PM
=
10
15
=
2
3
Also,
NR
PN
=
8
12
=
2
3
∴ MN∥QR [ By converse proportionality theorem ]
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Answer:
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