Q. 7 I5.0( 1 Vote )

# 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 ………..A. 6B. 2C. 4D. 8

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.

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