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If the angles of a triangle are in the ratio `4:1:1,` then the ratio of the longest side to the perimeter is `sqrt(3):(2+sqrt(3))` (b) `1:6` `1:2+sqrt(3)` (d) `2:3`

A

`sqrt(3):(2+sqrt(3))`

B

`1:6`

C

`1:(2+sqrt(3))`

D

`2:3`

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