If the angles of a triangle are in the ratio \( 4: 1: 1 \), then the ratio of the longest side t...

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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
(a) \( \sqrt{3}:(2+\sqrt{3}) \)
(b) \( 1: 6 \)
(c) \( 1: 2+\sqrt{3} \)
(d) \( 2: 3 \)
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