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 cm2/289 cm2) = (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
