Three triangles ΔA₁B₁C₁, ΔA₂B₂C₂ and ΔA₃B₃C₃ are such that ΔA₁B₁C₁ ∼ ΔA₂B₂C₂ and ΔA₂B₂C₂ ∼ ΔA₃B₃C₃.
(i) The scale factor from ΔA₁B₁C₁ to ΔA₂B₂C₂ is 4 : 3. Determine the scale factor from ΔA₂B₂C₂ to ΔA₁B₁C₁.
(ii) The scale factor from ΔA₂B₂C₂ to ΔA₃B₃C₃ is 3 : 5. Calculate the scale factor from ΔA₁B₁C₁ to ΔA₃B₃C₃.
(iii) If the perimeter of ΔA₁B₁C₁ is 21 cm, find the perimeter of ΔA₃B₃C₃.