A ray extends from the midpoint of one side of a triangle at a specified angle. The other two sides of the triangle meet on the ray.

*It seems to me that you are talking about the median.*
What is the formula that relates

*(?)* the lengths of the two sides that meet on the ray?

This is a problem I came up with myself; I'm just trying to figure some things out. I asked it in the Math Community on Google+ and got no responses. I'm pretty sure I've stated it with all the necessary information. Looking forward to any responses!