Pythagorean triples with rational angles? (sh.itjust.works)

submitted 6 months 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 6 months ago

Do you mean rational in radians, or in degrees?

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[-] threelonmusketeers@sh.itjust.works 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.

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this post was submitted on 28 Apr 2024

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