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Deepak Bora
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Diagonals of a trapezium PQRS intersect each other at the point O, PQ II RS and PQ = 3RS. Find the ratio of the areas of triangles POQ and ROS.

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CBSE 10th Class past year question paper

Year 2019

SET 1, Code Number- 30/2/1

Question number – 14 (b)

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  1. In ∆POQ and ∆ROS

    ∠P = ∠R

    ∠Q = ∠ S

    ∴ ∆POQ ~ ∆ROS [AA similarity]

    ∴ar ( POQ) /ar ( ROS) = (PQ/RS)²

    = (3/1)²

    =9/1

    ∴ ar(∆POQ) : ar(∆ROS) = 9 : 1

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