The hinge theorem is a result in triangle geometry. It states that if two sides of one triangle are congruent to two sides of another triangle, and the angle included between those two sides is larger in the first triangle than in the second, then the third side of the first triangle is longer than the third side of the second. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
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Source Hinge theorem (Wikipedia)
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1. Hinge theorem (Wikipedia)
In Branch: Geometry, Lead sentenceQuote, In Branch: Geometry, Lead sentence
In geometry, the hinge theorem (sometimes called the open mouth theorem) states that if two sides of one triangle are congruent to
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