Correct Answer - Option 2 : 34 cm

**Given: **

ΔABC ∼ ΔPQR

Area of ΔABC = 196 cm2

Area of ΔPQR = 289 cm2

AB = 28 cm

**Concept:**

The ratio of the area of two similar triangles is proportional to the squares of the corresponding sides of both triangles.

**Calculation:**

The ratio of the area of two similar triangles is proportional to the squares of the corresponding sides of both triangles.

⇒ (Area of ΔABC)/( Area of ΔPQR) = (AB/PQ)^{2} = (BC/QR)^{2} = (AC/PR)^{2}

⇒ (196 cm^{2}/289 cm^{2}) = (28 cm/PQ)^{2}

⇒ 14 cm/17 cm = 28 cm/ PQ

By cross multiplication

⇒ PQ = 34 cm

∴ The length of PQ is 34 cm.

The correct option is 2 i.e. 34 cm