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A line divides an equilateral triangle A...

A line divides an equilateral triangle ABC of side length unity into two parts with same perimeter and areas `S_(1)` and `S_(2)`
The maximum value of `(S_(1))/(S_(2))` is

A

1

B

`(7)/(9)`

C

`(9)/(7)`

D

`(1)/(sqrt(3))`

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