Viviani's theorem, named after Vincenzo Viviani, states that the sum of the distances from a point to the sides of an equilateral triangle equals the length of the triangle's altitude.

The theorem can be extended to equilateral polygons and equiangular polygons. Specifically, the sum of distances from a point to the side lines of an equiangular (or equilateral) polygon does not depend on the point.

Text Source: Wikipedia

Download GGB file

The theorem can be extended to equilateral polygons and equiangular polygons. Specifically, the sum of distances from a point to the side lines of an equiangular (or equilateral) polygon does not depend on the point.

Text Source: Wikipedia

Download GGB file

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