Question

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

विकल्प

• 8 cm

• 10 cm

• 12 cm

• `20/3` cm

Answer 1

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