Dissection-Like Proofs of the Law of Cosines
| Autor: | Thackeray, Henry (Maya) Robert |
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| Zdroj: | Mathematics Magazine; March 2023, Vol. 96 Issue: 2 p120-129, 10p |
| Abstrakt: | SummaryInspired by arguments illustrating the Pythagorean theorem, this paper gives six interrelated dissection-like proofs of the law of cosines. Each proof treats the acute- and obtuse-angle cases together, and uses a trigonometric double-angle formula. Some of the proofs assume the Pythagorean theorem. |
| Databáze: | Supplemental Index |
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