Various Right Triangles

This example demonstrates different types of right triangles and their geometric properties. It involves core mathematical concepts such as the definition of right triangles, the Pythagorean theorem, and the properties of special right triangles (e.g., 30°-60°-90° and 45°-45°-90°). The construction uses commands like Segment, OrthogonalLine, Point, and Polygon to build the shapes, with objects like A, B, f, g, C, poly1, c, a, b, D, E, pic1, text1_1 to illustrate geometric relationships. It is suitable for high school students learning and understanding the geometric properties and applications of right triangles.