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Mathematics, 04.04.2020 08:02 bryantfoster

Suppose that the side lengths of one of a pair of 5-con triangles are given by the numbers (a, b, c), where a1. (That is, the side lengths of the second triangle are (ka, kb, kc).) Prove that the side lengths of the original triangle must be of the form (a, ak, ak2), that is, the side lengths must be triples from a geometric sequence.

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