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. 6

B. 2

C. 4

D. 8

Answer :

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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