Trig Ratios Exploration: Dynamic Right Triangle Geometry

This GeoGebra example provides an interactive exploration of trigonometric ratios (sine, cosine, tangent) in a right triangle. It demonstrates how the ratios of side lengths depend only on the acute angle, not on the triangle's size, reinforcing the concept of similarity. The construction uses commands such as Ray, Point, OrthogonalLine, Distance, Angle, and Intersect to build the triangle and its perpendicular components. Key objects include points A, B, C, D, E, and measured distances like distanceDG, distanceAE, and distanceAD, with text labels displaying the computed ratios. This resource is ideal for middle or high school students learning introductory trigonometry, and for teachers seeking a visual, hands-on tool to illustrate the fundamental definitions of trigonometric functions.