In \( \triangle \mathrm{ABC} \), angles \( \mathrm{A}, \mathrm{B} \...

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In \( \triangle \mathrm{ABC} \), angles \( \mathrm{A}, \mathrm{B} \) and \( \mathrm{C} \) are in the ratio \( 1: 2: 3 \), then which of the following is(are) correct?
\( \mathrm{P} \) (All symbol used have usual meaning in a triangle.)

W
(A) Circumradius of \( \triangle \mathrm{ABC}=\mathrm{c} \)
(B) \( \mathrm{a}: \mathrm{b}: \mathrm{c}=1: \sqrt{3}: 2 \)
(C) Perimeter of \( \triangle \mathrm{ABC}=3+\sqrt{3} \)
(D) Area of \( \triangle \mathrm{ABC}=\frac{\sqrt{3}}{8} \mathrm{c}^{2} \)
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