Question

It is given that ΔABC ~ ΔQRP such that AB = 9 cm, BC = 5 cm and PR = 2 cm. Length of side QR is ______.

Options

• 0.9 cm

• `5/18` cm

• `10/9` cm

• 3.6 cm

Answer 1

It is given that ΔABC ~ ΔQRP such that AB = 9 cm, BC = 5 cm and PR = 2 cm. Length of side QR is 3.6 cm.

Explanation:

ΔABC ~ ΔQRP

So corresponding sides are proportional in the given order:

`(AB)/(QR) = (BC)/(RP)`

`9/(QR) = 5/2`

9 × 2 = QR × 5

QR = `(9 xx 2)/5`

QR = `18/5`

QR = 3.6 cm