If ΔABC ~ ΔDEF such that 2AB = DE and BC = 6 cm, find EF.
Given: ∆ABC ∼ ∆DEF
2AB = DE ……….(i)
BC = 6 cm
To find: EF
∵ ∆ABC ∼ ∆DEF
∴ Ratio of all the corresponding sides of ∆ ABC and ∆ DEF are equal.
……….(ii)
Also, from (i), we have
2AB = DE
……….(iii)
[By (ii) and (iii)]