Using Java, how can I calculate a third point in triangle if there are known two points, angle between edges and length of an edge?
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Simple : use the law of Sines
You have two known angles and a known edge. The unknown angle is presumably opposite the known edge. Using the property that the internal angles of a triangle always sum to 180 degrees, you can calculate the unknown angle. Then, sine(angle)/known edge = sine(known angle)/unknown edge. Solve for both unknown edges and then solve for your point.