Question

If ΔABC and ΔDEF are similar and AB : DE = 5 : 4, find the ratio of the area of ΔАBC and the area of ΔDEF.

Answer 1

Since △ABC ∼ △DEF,

`"Area of △ABC​"/"Area of △DEF" = ((AB)/(DE))^2`

Given,

AB : DE = 5 : 4

So,

`"Area of △ABC​"/"Area of △DEF" = (5/4)^2`

= `25/16`

∴ Area of △ABC​ : Area of △DEF = 25 : 16