If the angles of a triangle are in the ratio $1: 1: 4$,then the ratio of the perimeter of the triangle to its largest side is

  • A
    $\sqrt{2}+2: \sqrt{3}$
  • B
    $3: 2$
  • C
    $\sqrt{3}+2: \sqrt{2}$
  • D
    $\sqrt{3}+2: \sqrt{3}$

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