Pythagorean theorem

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Pythagorean theorem

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Also known as Pythagoras' theorem, Pythagorean proposition, a² + b² = c², a²+b²=c²

relation in Euclidean geometry among the three sides of a right triangle

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The Pythagorean theorem describes a mathematical relationship between the three sides of a right triangle, stating that the square of the longest side equals the sum of the squares of the other two sides. This principle is fundamental to geometry and has practical applications in fields like construction, engineering, and navigation where measuring distances and angles in right triangles is essential.

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Described at

Proof Without Words – GeoGebra

UPDATED : Drag the points in the sketch below. What do you notice? What does this prove? How does this prove it? This is purposefully vague to let k…

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Wikidata facts

Instance of: theorem
Named after: Pythagoras
Image: Pythagorean.svg

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Commons category: Pythagorean theorem
topic's main category: Category:Pythagorean theorem
statement describes: right triangle
described at URL: www.geogebra.org/m/ZFTGX57r
on focus list of Wikimedia project: Wikipedia:Vital articles/Level/4
described by source: New International Encyclopedia
maintained by WikiProject: WikiProject Mathematics
generalization of: parallel postulate
studied by: Euclidean geometry

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Excerpted from Wikipedia’s “Pythagorean theorem” article, available under the CC BY-SA 4.0 licence.

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