Geometric Mean Lesson: GeoGebra Construction and Applications

This example demonstrates how to construct a geometric mean diagram using GeoGebra, illustrating the concept of geometric mean in algebra, probability, statistics, and integral calculus. Core topics include the definition of geometric mean, geometric proportion, normal distribution characteristics, and the geometric interpretation of definite integrals. The construction uses the Segment command on objects such as pic1, A, B, a, C, D, b, etc., to create a visual representation of the geometric mean relationship. It is suitable for high‑school and undergraduate students, especially in geometry, modeling, and statistical computation courses.