There's some media reporting that two high school students, Calcea Johnson and NeKiya Jackson, have proven the Pythagorean Theorem using the Law of Sines, the first proof using trig without using circular reasoning. (https://www.insider.com/us-teens-claim-to-have-proved-pythagorean-theorem-thought-impossible-2023-3?amp) Apparently such a feat was thought impossible; The Pythagorean Proposition by Elisha Loomis says that “There are no trigonometric proofs, because all the fundamental formulae of trigonometry are themselves based upon the truth of the Pythagorean Theorem.”

They've presented their proof at the American Mathematical Society, who suggest they submit it to a journal. The proof hasn't been verified by experts, nor did I have success finding it online to check myself.

Resolves to the consensus among the expert mathematics community in three months (June 29, 6pm PT) about whether this proof is essentially valid, trig-based, and free from circular logic. Can still resolve YES if it has an easily fixable flaw. If there's no clear consensus in the math community, I'll resolve to 25%, 50%, or 75% based on the approximate split.

General policy for my markets: In the rare event of a conflict between my resolution criteria and the agreed-upon common-sense spirit of the market, I may resolve it according to the market's spirit or N/A, probably after discussion.

Mar 29, 8:01am: Will experts find the non-circular trig “proof” of the Pythagorean Theorem by high schoolers legit? → Will experts find the trig-based “proof” of the Pythagorean Theorem by high schoolers legit?