Find the missing parts of the triangle A 30 degree and a 2

Find the missing parts of the triangle. A = 30 degree and a = 20; find B, b, and c

In a Triangle

A + B + C = 180 deg

given values are

A = 30

C = 90

B = 180 - (A + C)

B = 180 - (30 + 90) = 60 deg

Also, given

a = 20

sin B = b/c

sin A = a/c = sin 30

a/c = 1/2

c = 2*a = 40

Now we know that in this given triangle

a^2 + b^2 = c^2

b = sqrt (40^2 - 20^2) = 34.64