@themathcentral: Viviani’s theorem states that in an equilateral triangle, the sum of the perpendicular distances from any interior point to the three sides is always equal to the height of the triangle. This means that if a point is chosen anywhere inside the triangle, and perpendicular lines are drawn from this point to each of the three sides, the total length of these three perpendiculars will be the same as the height of the original equilateral triangle. The theorem can be proved by considering the areas of the three smaller triangles formed by these perpendiculars and showing that their total area equals the area of the original triangle, leading to the conclusion that the sum of the perpendicular distances remains constant. #math #LearnOnTikTok #vivianitheorem #animation #fyp