Pythagorean theorem

relation in Euclidean geometry among the three sides of a right triangle
Intangible theorem Q11518
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Summary

Pythagorean theorem is a theorem[1]. It ranks in the top 0.077% of theorem entities by monthly Wikipedia readership (26,139 views/month, #1 of 1,306).[2]

Key Facts

  • Named after: Pythagoras[3]
  • Part of: list of theorems[4], Pythagoras–Euclid theorems[5]
  • Commons category: Pythagorean theorem[6]
  • Topic's main category: Category:Pythagorean theorem[7]
  • Described at URL: https://www.geogebra.org/m/ZFTGX57r[8]
  • Described by source: Meyers Konversations-Lexikon, 4th edition (1885–1890)[9], New International Encyclopedia[10], Khan Academy[11], Mathwords[12], mathisfun.com[13], AoPS Wiki[14], mathisfun.com dictionary[15]
  • Statement describes: right triangle[16]
  • Studied by: Euclidean geometry[17]
  • Permanent duplicated item: Q110206185[18]
  • On focus list of Wikimedia project: Wikipedia:List of articles all languages should have[19], Wikipedia:Vital articles/Level/4[20]
  • Maintained by WikiProject: WikiProject Mathematics[21]
  • Generalization of: Pythagorean trigonometric identity[22], parallel postulate[23]

Body

Influence

Things named for Pythagorean theorem include Pythagorean triple[24], a mathematical concept[25] and Pythagorean field[26].

Why It Matters

Pythagorean theorem has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[27] It is known by 71 alternative names across languages and contexts.[28]

Entities named for it include Pythagorean triple[24], a mathematical concept[25] and Pythagorean field[26].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . wikidata.org.
  18. [20] ↑ . wikidata.org.
  19. [21] ↑ . wikidata.org.
  20. [22] ↑ . wikidata.org.
  21. [23] ↑ . cut-the-knot.org. Retrieved . cut-the-knot.org. Provenance: wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [24] ↑ . wikidata.org. → on this site
  2. [26] ↑ . wikidata.org. → on this site

Inline context (facts about related entities)

  1. [25] ↑ . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] ↑ . Wikidata sitelinks. wikidata.org.
  3. [28] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Pythagorean theorem. Retrieved October 16, 2026, from https://4ort.xyz/entity/pythagorean-theorem
MLA “Pythagorean theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 16 Oct. 2026, https://4ort.xyz/entity/pythagorean-theorem.
BibTeX @misc{4ortxyz_pythagorean-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Pythagorean theorem}}, year = {2026}, url = {https://4ort.xyz/entity/pythagorean-theorem}, note = {Accessed: 2026-10-16}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Pythagorean theorem — https://4ort.xyz/entity/pythagorean-theorem (retrieved 2026-10-16)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 13d ago · AddyLockPool · 2026-10-03 view diff on Wikidata ↗
    Described by source → Meyers Konversations-Lexikon, 4th edition (1885–1890), New International Encyclopedia, Khan Academy +5
    Proofwiki id → Pythagoras's_Theorem, Pythagorean_Theorem
    Encyclopedia of mathematics article id → Pythagorean_theorem, Pythagoras_theorem
    Planetmath id → PythagoreanTheorem
    + 1 other property edited (see Wikidata diff for full list)
    "/* wbeditentity-statements-multiple-properties-add:0||3 */ Add 4 sources/identifiers (via Wikidata Source Saver, user-initiated)"
  2. 14d ago · AddyLockPool · 2026-10-02 view diff on Wikidata ↗
    Described by source → Meyers Konversations-Lexikon, 4th edition (1885–1890), New International Encyclopedia, Khan Academy +5
    Sitelink count → 148
    Wikipedia languages → ['af', 'als', 'am', 'an', 'ar', 'arz', 'as', 'ast', 'awa', 'az', 'azb', 'ba', 'b
    Claims rich → —
    "/* wbsetclaim-create:1||1 */ Described by source: Mathwords, Moving from mathisfun.com"
  3. 10w ago · AddyLockPool · 2026-08-06 view diff on Wikidata ↗
    Described by source → Meyers Konversations-Lexikon, 4th edition (1885–1890), New International Encyclopedia, Khan Academy +5
    "/* wbsetclaim-create:2||1 */ Described by source: Khan Academy"
  4. 14w ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    P14541 → 1oL5Yu
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/40849|batch #40849]]: ZGBK ID"
  5. 15w ago · Beegies · 2026-07-03 view diff on Wikidata ↗
    Lexikon der mathematik entry id → 7163
    P14537 → zhqpr82, zkrq7yc
    "/* wbsetclaim-create:2||1 */ Lexikon der mathematik entry id: 7163"
  6. 17w ago · Yirba · 2026-06-19 view diff on Wikidata ↗
    P14537 → zhqpr82, zkrq7yc
    Foldoc id → Pythagorean+Theorem, Pythagoras's+Theorem
    "/* wbsetclaim-create:1||1 */ P14537: zhqpr82, Matched to [[:toollabs:mix-n-match/#/entry/294229266|Pythagoras (#294229266)]] in [[:toollabs:mix-n-match/#/catalog/8060|‎BBC Bitesize topics"
  7. 18w ago · HelloImSteven · 2026-06-10 view diff on Wikidata ↗
    Foldoc id → Pythagorean+Theorem, Pythagoras's+Theorem
    "/* wbsetclaim-create:1||1 */ Foldoc id: Pythagoras, import FOLDOC ID ([[:toollabs:editgroups/b/wikibase-cli/f6585e22ab8ad/|details]])"
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