trigonometry solving triangles

Question

Consider a triangle which has side lengths a, b, and c, and angles , , and , with  opposite the side of length a, and so on.

If , , and , what is b?

(I got for the answer but just checking!)

Answer 1

β = 45º

b / sin 45º = 3 / sin 30º

b / (√2 / 2) = 3 / (1/2)

b / (√2 / 2) = 6

b = 6(√2√ / 2)

b = 3√2