Question

The area of ΔABC is 9 cm², and the area of ΔDEF = 16 cm². If ΔABC ~ ΔDEF, find: AB : DE.

Answer 1

Since △ABC ∼ △DEF,

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

Given,

`9/16 = ((AB)/(DE))^2`

`(AB)/(DE) = sqrt(9/16)`

`(AB)/(DE) = 3/4`

∴ AB : DE = 3 : 4