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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)`
For maximum of minimum ratio `(S_(1))/(S_(2))` the line divides the side of the triangle in the ratio

A

1 : 2

B

1 : 1

C

1 : 3

D

2 : 5

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