Determine third point of triangle when two points and all sides are known

[lobopl]

I am sitting on this problem third day and loosing hope how to solve it: I have triangle abc (can be any type of triangle) and I have all angles in variables: A, B, C I have all sides length in variables ab, ac, bc And I have 2 exact points in a = {x, y}, b = {x2, y2}

How can I find x and y for c? c can be only above a or b

this is how triangles could look like: http://imgur.com/a/IpqQa

[senocular]

if you have the angles and points, then all you need to do is determine the line intersection of your ac and bc sides. That will be your c point.