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Question
If ΔABC ~ ΔQRP, `(ar(ΔABC))/(ar(ΔPQR)) = 9/4`, AB = 18 cm and BC = 15 cm then PR = ?
Options
8 cm
10 cm
12 cm
`20/3` cm
MCQ
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Solution
10 cm
Explanation:
ar(ΔQRP) = ar(ΔPQR).
∴ `(ar(ΔABC))/(ar(ΔQRP)) = 9/4 = 3^2/2^2`
⇒ `(BC)/(RP) = 3/2` ...[∵ ΔABC ∼ ΔQRP]
⇒ `PR = 2/3 xx BC`
= `2/3 xx 15 cm`
= 10 cm
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