Two dimensional elastic collision

[mchaparro]

Homework Statement

Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide with a glancing blow. Asteroid A, which was initially traveling at 40.0 m/s with respect to an inertial frame in which asteroid B was at rest, is deflected 30.0 degrees from its original direction, while asteroid B travels at 45.0 degrees under the x-axis.

I need to find the final velocities of both asteroids.

Homework Equations

40² = V_A² + V_B²

The Attempt at a Solution

40 cos 30 and more like that but it's obviously wrong

 

[kuruman]

You need to conserve momentum in the x and y directions.