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I got a triangle, I know A and B coordinates, I know all angles, how can I calculate C coordinates?

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  • You cannot. The locus of constant $\angle BCA$ are two circular arcs with end points $A,B$. You need more info to fix the location of $C$. – achille hui Sep 10 '17 at 20:36

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I don't think you can. If you put A at $(-1,0)$ and B at $(0,1)$, then any point $C$ on the unit circle will make a right triangle with A and B. Which means the coordinates of A and B and the measure of the angle C are not enough. If you know one more side length or one more angle, you can use the law of sines to get the other measurements.