The lengths of the sides of ΔDEF are 4, 6, 8. ΔDEF ~ ΔPQR for correspondence DEF ↔ QPR. If the perimeter of ΔPQR = 36, then the length of the smallest side of ΔPQR is ………..

Given: Lengths of sides of ∆DEF are 4, 6 and 8.

∆DEF ∼ ∆PQR for the correspondence DEF ↔ PQR.

Perimeter of ∆PQR = 36

To find: length of the smallest side of ∆PQR = ?

Since, sides of ∆DEF are 4, 6 and 8.

⇒ Perimeter of ∆DEF = 4 + 6 + 8

⇒ Perimeter of ∆DEF = 18

Since, ∆DEF ∼ ∆PQR for the correspondence DEF ↔ PQR.

∴

⇒

⇒

⇒

⇒ Smallest side of ∆PQR = 4 × 2

⇒ Smallest side of ∆PQR = 8

Thus, option (d) is correct.