△ABC is similar to △DEF. Length of AB is 18 cm and length of the corresponding side DE is 10 cm. What is the ratio of Perimeter of △ABC : Perimeter of △DEF?
- A5:9
- B9:5
- C81:25
- D26:21
Solution & Step-by-step Explanation
For any two similar triangles, the ratio of their perimeters is equal to the ratio of their corresponding side lengths.
Perimeter of △DEF
Perimeter of △ABC
=
DE
AB
Given that AB=18 cm and DE=10 cm:
Ratio=
10
18
=
5
9
Therefore, the ratio of their perimeters is 9:5.
Perimeter of △DEF
Perimeter of △ABC
=
DE
AB
Given that AB=18 cm and DE=10 cm:
Ratio=
10
18
=
5
9
Therefore, the ratio of their perimeters is 9:5.