Question

∆ABC~∆DEF such that ar(∆ABC) = 36 cm² and ar(∆DEF) = 49 cm² . Then, the ratio of their corresponding sides is 

(a) 36 : 49 

(b) 6 : 7 

(c) 7 : 6 

(d) √6 : √7

Answer 1

(b) 6:7 

∵ ∆ABC ~ ∆DEF 

∴ AB/DE = BC/ EF = AC/DF … (i) 

Also

Thus, the ratio of corresponding sides is 6 : 7.