Question

say answers of these 2 questions

Answer 1

60. Let the angles of the triangle be 4x,x,x.

  4x + x + x = 180 

       6x = 180

          x = 30.

The angles of the triangle are 4 * 60, 30 ,30 = 120,30,30.

That means Angle A = 120, B = 30 and C = 30.

We know that a/Sin A = b/Sin B = c/Sin c = K

a = K Sin A = K sin 120 = root 3/2.

b = K sin B = K sin 30 = 1/2.

c = K sin C = k sin30 = 1/2.

The ratio of largest side to the perimeter = root 3/2/(root 3/2 + 1)

                                                                     = root 3/root 3 + 2.


Hence the value of k = 3.