In the figure given below 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.

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Rajan@2021Guru

Asked: March 25, 20212021-03-25T13:48:31+05:30 2021-03-25T13:48:31+05:30In: ICSE

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

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MathsMentor · Answer 1 · 2021-03-28T15:50:32+05:30

MathsMentor Guru

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