Question

if the ratio of the corresponding sides of two similar triangles is 2:3 then the ratio of their corresponding perimeter is

Answer 1

Answer:

2:3 would be the ratio

Step-by-step explanation:

Let say sides of a triangle Δ

= 2a  , 2b & 2c

Then corresponding sides of ≅ Δ Similar Triangle would be

3a , 3b & 3c

Perimeter of triangle Δ = Sum of all its sides

Perimeter of 1st Triangle Δ = 2a + 2b + 2c

= 2 (a + b + c)

Perimeter of 2nd Triangle Δ = 3a + 3b + 3c

= 3 ( a + b + c)

Ratio of 1st Triangle to 2nd Triangle = 2 ( a+b+c) / {3(a+b+c)}

= 2/3

2:3 would be the ratio