Ellipse - Sum of Distances

This example demonstrates the definition of an ellipse: the locus of points where the sum of distances to two fixed points (foci) is constant. It involves core math concepts like ellipse, complex numbers, perimeter, standard deviation, difference and slope, and similar triangles. Constructed using GeoGebra commands for points, segments, and objects like a, b, c, P, F_1, F_2, PF_1, PF_2, sum, with slider animation to show the constant sum property. Suitable for high school mathematics education to understand the geometric properties and definition of ellipses.