One of the most important question of Similarities in which we have been asked to

i) prove that triangle RLQ is similar to triangle PLN.hence , find PN.

ii) name a triangle similar to triangle RLM. evaluate RM.

From the given figure

ML Aggarwal class 10, Similarity, chapter 13, question no 16b

In ΔRLQ and ΔPLN, ∠RLQ = ∠PLN (Vertically opposite angles) ∠LRQ = ∠LPN (Alternate angles) ΔRLQ ~ ΔPLN (AA Similarity)