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Cevian Theorem

Stewart's Theorem

A theorem relating the length of a cevian to the lengths of the sides of a triangle. This theorem is easily proven using the law of cosines.

 

Triangle with sides a, b, c and cevian t from vertex to base, dividing c into segments m and n. Formula: a²n + b²m = t²c + mnc

 

 

See also

Ceva’s Theorem, Menelaus’s Theorem