Given points A(x1, y1) and B(x2, y2), I'm supposed to derive the coordinate of the point C

which should be on the line AB (such that B is on the line segment AC), such that the distance CB is 0.5*distance AC. The point is to avoid the solution where C is on "the other side", such that A is between C and B. We should obtain the solution where B is between A and C.

Thanks