Extended Pythagoras Theorem Using Hexagons

Luis Teia

Journal of Mathematics Research, 2021, vol. 13, issue 6, 46

Abstract: This article provides the geometric and algebraic proof of the variant equation of the Pythagorean theorem x^2-xy+y2=z^2 . The hypothesis that will be proven is that just as squares govern the original version x^2+y^2=z^2 , hexagons are found to govern x^2-xy+y^2=z^2 . Both the special case x=y and general case of x≠y are examined.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:13:y:2021:i:6:p:46

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