: Mathématiques: Viviani's theorem

geometry > Euclidean geometry > Viviani's theorem

Viviani's theorem

Viviani's theorem, named after Vincenzo Viviani, states that the sum of the distances from any interior point to the sides of an equilateral triangle equals the length of the triangle's altitude. It is a theorem commonly employed in various math competitions, secondary school mathematics examinations, and has wide applicability to many problems in the real world.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Viviani%27s_theorem)

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