Question

In ΔABC, PQ || BC. It is given that AP = 2.4 cm, PB = 3.6 cm and BC = 5.4 cm. PQ is equal to:

Options

• 2.7 cm

• 1.8 cm

• 3.6 cm

• 2.16 cm

Answer 1

2.16 cm

Explanation:

In ΔABC, PQ || BC.

AP = 2.4

PB = 3.6

BC = 5.4

By using Thales’ theorem

∵ PQ || BC

∴ `(AP)/(AB) = (PQ)/(BC)`

⇒ `2.4/6 = (PQ)/5.4`   ...(∵ AB = AP + PB = 2.4 + 3.6 = 6)

⇒ PQ = `(2.4 xx 5.4)/6`

⇒ PQ = 2.16 cm