this post was submitted on 28 Apr 2024
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Pythagorean triples with rational angles? (sh.itjust.works)
submitted 1 year ago by threelonmusketeers@sh.itjust.works to c/askmath
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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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[–] xigoi@lemmy.sdf.org 3 points 1 year ago (1 children)

Do you mean rational in radians, or in degrees?

[–] threelonmusketeers@sh.itjust.works 4 points 1 year 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.