मराठी

If ΔABC ~ ΔQRP, (ar(ΔABC))/(ar(ΔPQR)) = 9/4, AB = 18 cm and BC = 15 cm then PR = ?

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प्रश्न

If ΔABC ~ ΔQRP, `(ar(ΔABC))/(ar(ΔPQR)) = 9/4`, AB = 18 cm and BC = 15 cm then PR = ?

पर्याय

  • 8 cm

  • 10 cm

  • 12 cm

  • `20/3` cm

MCQ
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उत्तर

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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पाठ 7: Triangles - MULTIPLE-CHOICE QUESTIONS (MCQ) [पृष्ठ ४५६]

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आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 7 Triangles
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 47. | पृष्ठ ४५६
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