The Pythagorean theorem is true for all right triangles.

the verdict

SUPPORTED

the evidence backs this

Recorded sources

7 sources for · 1 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that the Pythagorean theorem is true for all right triangles?

Yes. Multiple textbooks state directly that the Pythagorean theorem is true for all right triangles. One reference notes that right triangles in non-Euclidean geometry do not satisfy it, a qualification outside the standard Euclidean setting.

Verdict: SUPPORTED · 7 sources for, 1 against · Last checked 17 Oct 2026

Evidence for · 7

Pythagorean and Heronian Triangles

2007

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Neville, d. M. & Barney, M. (2007). Pythagorean and Heronian Triangles. eric.ed.gov. https://eric.ed.gov/?id=EJ779100

Evidence against · 1

Pythagorean theorem

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Pythagorean theorem. (n.d.). en.wikipedia.org. https://en.wikipedia.org/wiki/Pythagorean_theorem

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More for · 6

LibreTexts: 7.1.04: The Pythagorean Theorem

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LibreTexts: 7.1.04%3A The Pythagorean Theorem. (n.d.). math.libretexts.org. https://math.libretexts.org/Bookshelves/Applied_Mathematics/Developmental_Math_(NROC)/07%3A_Geometry/7.01%3A_Basic_Geometric_Concepts_and_Figures/7.1.04%3A_The_Pythagorean_Theorem

OpenStax Elementary Algebra 2e: 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem

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OpenStax Elementary Algebra 2e: 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem. (n.d.). openstax.org. https://openstax.org/books/elementary-algebra-2e/pages/53733266-6977-4051-be03-caee623171cf@

Antara Teorema Pythagoras dan Trigonometri: Saling Tergantung atau Bebas? (Between Pythagorean Theorem and Trigonometry: Interdependent or Independent?)

2024

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Sahid (2024). Antara Teorema Pythagoras dan Trigonometri: Saling Tergantung atau Bebas? (Between Pythagorean Theorem and Trigonometry: Interdependent or Independent?). zenodo.org. https://doi.org/10.5281/zenodo.11263618

Five-year study of the first edition of the core-plus mathematics curriculum

2010

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Five-year study of the first edition of the core-plus mathematics curriculum. (2010). archive.org. https://archive.org/details/fiveyearstudyoff0000unse

Bridges to algebra and geometry : mathematics in context

2004

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Bridges to algebra and geometry : mathematics in context. (2004). archive.org. https://archive.org/details/bridgestoalgebra0000unse

Algebra and trigonometry, a skills approach

1980

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Louis, N. J. (1980). Algebra and trigonometry, a skills approach. archive.org. https://archive.org/details/algebratrigonome0000nann

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