Question

3. In Fig. 12.110, PQRS is a parallelogram, PQ=16 cm,
QR = 10 cm. L is a point on PR such that
RL: LP = 2:3. QL produced meets RS at M and PS
produced at N.
(i) Prove that triangle RLQ is similar to triangle PLN.
Hence find PN.
(ii) Name a triangle similar to triangle RLM. Evaluate
RM as a fraction.
(ICSE 1997)
MI
Fig. 12.110​

Answer 1

Answer:

(i)20 cm (ii)triangle PLQ