Suppose we want to find/describe the side lengths of $n$ different triangles given that (1) they are all similar to one another and (2) their side lengths satisfy a given homogeneous system of linear equations. Clearly the problems here is that the proportions that result from the similarity requirement are nonlinear. (They can be written in quadratic form though.) Is there any way to deal with this problem algebraically?
2026-03-27 15:16:39.1774624599
Similar triangles with side lengths satisfying linear constraints
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