Assuming you know the angles of a triangle, but the only piece of information regarding scale that you're given is the coordinate of the centroid and coordinate of a single vertex (whose corresponding angle is known), is it possible to solve the triangle? If so, how does one go about doing so?
2026-02-23 10:18:41.1771841921
Given the centroid, one vertex, and the angles of a triangle, how do you solve it?
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You could construct an arbitrary triangle with the given angles, construct its centroid and then use a similarity to map your initial triangle to the final one. The solution will be unique if you know the orientation of the triangle, otherwise you get two mirror copies.