Viviani's theorem
On the sum of the distances from an interior point to the sides of an equilateral triangle / From Wikipedia, the free encyclopedia
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Viviani's theorem, named after Vincenzo Viviani, states that the sum of the shortest distances from any interior point to the sides of an equilateral triangle equals the length of the triangle's altitude.[1] 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.