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Stewart's theorem

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theorem describing a relation between the lengths of the sides and the length of a cevian in a triangle

~5 min read

Encyclopedic overview

In geometry, Stewart's theorem yields a relation between the lengths of the sides and the length of a cevian in a triangle. Its name is in honour of the Scottish mathematician Matthew Stewart, who published the theorem in 1746.

Statement

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