△ABC is similar to △DEF. Length of AB is 12cm and length of the corresponding side DE is 8cm. What is the ratio of Perimeter of △ABC : Perimeter of △DEF?
- A9:4
- B4:9
- C3:2
- D2:3
Solution & Step-by-step Explanation
For any two similar triangles, the ratio of their perimeters is equal to the ratio of their corresponding sides.
Perimeter of △DEF
Perimeter of △ABC
=
DE
AB
Given:
AB=12cm
DE=8cm
Substituting the values:
Ratio=
8
12
=
2
3
Thus, the ratio of their perimeters is 3:2.
Perimeter of △DEF
Perimeter of △ABC
=
DE
AB
Given:
AB=12cm
DE=8cm
Substituting the values:
Ratio=
8
12
=
2
3
Thus, the ratio of their perimeters is 3:2.