Question

In ∆ABC and ∆DEF, we have: AB/DE = BC/EF = AC/DF = 5/7 , then ar(∆ABC) : ∆(DEF) = ? 

(a) 5 : 7 (b) 25 : 49 (c) 49 : 25 (d) 125 : 343

Answer 1

(b) 25 :49 

In ∆ABC and ∆DEF, we have :

AB/DE = BC/EF = AC/DF = 5/7 

Therefore, by SSS criterion, we conclude that ∆ABC ~ ∆DEF.