Momentum of Explosions: Solving for Direction and Mass

[wwerox13]

A bomb initially at rest on a smooth, horizontal surface is ex*ploded into three
pieces. Two pieces fly off horizontally at a 60°angle to each other, a 2.0 kg piece at
20 m/s and a 3.0 kg piece at 12 m/s. The third piece flies off horizontally at 30 m/s.

(a) Determine the direction of motion of the third piece.

(b) What is its mass?

 

[gneill]

I think you missed the part where you're supposed to list what relevant equations you know, and you present your attempts at a solution.