can't find position of 3rd point in triangle

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enter image description here Here i want to find (x2,y2). All 3 angles(A,B,C) are known. All 3 sides length are known(a,b,c). How should i do it? and also (x0,y0) and (x1,y1) are known.

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$C$ is at the intersection of a circle of radius $b$ around point $A$ and a circle of radius $a$ around $B$. Write the two equations and solve them simultaneously. You don't need the angles if you have those two sides. You will get two solutions for the position of $C$, one above and one below $AB$.