Question

The areas of two similar triangles ABC and PQR are
in the ratio 9:16. If BC = 4.5 cm, then the length of
QR is
(a) 4 cm
(b) 4.5 cm
(c) 3 cm
(d) 6 cm
(1)​

Answer 1

SOLUTION :

Given: ΔABC∼ΔPQR , arΔABC : arΔPQR =  9:16 and BC = 4.5cm.

We know that the ratio of the areas of the two similar triangles is equal to the ratio of the squares of their corresponding sides.

arΔABC/arΔPQR = (BC/QR)²

9/16 = (4.5/QR)2

√9/16 = (4.5/QR)

¾ = 4.5/QR

3 × QR = 4.5 × 4

QR = (4.5× 4)/3

QR = 1.5 × 4  

QR = 6 cm

Hence, the length of QR is 6 cm.

HOPE THIS ANSWER WILL HELP YOU..

Answer 2

Answer:

option d is correct QR = 6CM