SMRTR Science & EngineeringApr 13, 2025John D. Cook

Erdős-Mordell triangle theorem

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A geometric theorem from 1935 states that in any triangle, the sum of distances from an interior point to the vertices is at least twice the sum of distances to the sides. This Erdős-Mordell theorem, initially conjectured by Paul Erdős and proved by Louis Mordell, has since been generalized to include weighted distances.

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