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It is given that ΔАВС ~ ΔРQR and (BC)/(QR) = 2/3 then (ar(ΔPQR))/(ar(ΔABC)) = ?

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Question

It is given that ΔАВС ~ ΔРQR and `(BC)/(QR) = 2/3` then `(ar(ΔPQR))/(ar(ΔABC))` = ?

Options

  • `2/3`

  • `3/2`

  • `4/9`

  • `9/4`

MCQ
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Solution

`bb(9/4)`

Explanation:

`(ar(ΔPQR))/(ar(ΔABC)) = (QR^2)/(BC^2)`

= `((QR)/(BC))^2`

= `(3/2)^2`

= `9/4`

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Chapter 7: Triangles - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 455]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 7 Triangles
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 41. | Page 455
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