Question

in the given figure, LM||PQ and QL||MN. Prove that RL×RL = RN×RP​

Answer 1

Answer:

Plz mark BRAINLIEST ✌

Step-by-step explanation:

Answer 2

Given:

LM is parallel PQ and QL is parallel MN

To prove :

$RL\times RL=RN\times RP$

Solution:

In triangle RPQ

LM is parallel to PQ

$\frac{RL}{RP}=\frac{RM}{RQ}$...(1)

Reason: By using triangle proportionality theorem

In triangle RLQ

QL is paralle to MN

$\frac{RN}{RL}=\frac{RM}{RQ}$....(2)

From equation (1) and (2) we get

$\frac{RL}{RP}=\frac{RN}{RL}$

$RL\times RL=RP\times RN$

Hence, proved.