this post was submitted on 28 Apr 2024
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Pythagorean triples with rational angles? (sh.itjust.works)
submitted 6 months ago by [email protected] to c/[email protected]
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Are there any known right triangles that have integer side lengths and rational angles? If not, has it been proven that none exist?

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[–] [email protected] 3 points 6 months ago (1 children)

Do you mean rational in radians, or in degrees?

[–] [email protected] 4 points 6 months ago

I was thinking of degrees, or fractions of a whole (2π radians), though either would be interesting. I would be quite surprised if any such triangles existed with rational angles in radians, given that π is irrational.