You're right. Sorry, my bad. I should had said: three parameters always fix the shape of a triangle, but not necessarily its scale size.
Full overview to clear up any confusion:
- 3 side lengths known -> all angles can be calculated
- 3 angles known -> all side-ratios can be calculated, but not the absolute side lengths
- 1 angle and 2 side lengths known -> all other side lengths and angles can be calculated
- 2 angles and 1 side length known -> all other side lengths and angles can be calculated