Verified answer

a / sin A = b / sin B = c /sin C

If side a is known and angles A and B are known then side b may be found

When side b is found and angles B and C are known , side c can be found..

Take the sine of one of the degrees and divide it by the length of its opposite side.

Set the ratio equal to the sine of another degree divided by the length of the side you're trying to find.

You should be able to find the length of the unknown side using cross multiplication. :)

sin A = a/c

sin 35° = 19/c

0.57 = 19/c

c = 33.33 mm

sin B = b/c

sin 55° = b/33.33

0.82 = b/33.33

b = 27.33 mm

Use the Law of Sines.

Insert what you know

Solve.