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Viviani's theorem states that in an equilateral triangle, the sum of the distances from any interior or boundary point to the three sides is equal to the altitude of the triangle.

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Contributed by: Tomas Garza (December 2020)

Based on an idea by: Jay Warendorff

Open content licensed under CC BY-NC-SA

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References

[1] C. Alsina and R. B. Nelsen, *Charming Proofs: A Journey into Elegant Mathematics*, Washington, D.C.: Mathematical Association of America, 2010 p. 96.

[2] A. Bogomolny. "Viviani's Theorem." Cut the Knot. (Oct 6, 2020) www.cut-the-knot.org/Curriculum/Geometry/VivianiPWW.shtml#explanation.

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