Parametric Parabola Example 1: Dynamic Triangle and Tangent Construction

This example demonstrates how to draw a parabola using parametric equations, and explores its geometric properties through a dynamic right triangle and tangent line. The core mathematical concepts include parametric equations, parabolas, tangents, and right triangles. The construction uses GeoGebra objects: parameter t, point A, curve c, text objects text1, text2, text3, and tangent object Tangiad. By varying the parameter, users can observe the motion of a point on the parabola and the associated geometric relationships. Suitable for high school or early college students learning parametric curves and conic sections, and useful for classroom demonstrations.