Question

In a triangle PQR, M and N are the mid-points of PQ and PR respectively. If QR is 10 cm, then find the length of MN​

Answer 1

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 ]