Question

if ∆ABC ~∆DEF and AB = 2 cm , DE = 4cm then the ratio of perimeters of ∆ABC and DEF respectively​

Answer 1

Answer:

We know that the ratio of areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides.

∴

Area(△DEF)

Area(△ABC)

=

DE

2

AB

2

⇒

Area(△DEF)

Area(△ABC)

⇒

(1.2)

2

(1.2)

2

=(

14

12

)

2

⇒

49

36