Basic Right Angled Triangle Trig Ratios

This GeoGebra example demonstrates the fundamental trigonometric ratios (sine, cosine, tangent) in a right-angled triangle through an interactive dynamic construction. It visually links the angles and side lengths, allowing users to explore how the ratios change with the triangle's shape. Core concepts include right triangle geometry, trigonometric definitions, and the Pythagorean theorem. The construction uses commands such as Intersect, Point, Segment, OrthogonalLine, Rotate, Angle, Ray, Distance, and Midpoint to build the triangle, label vertices, measure sides, and display text annotations for side lengths and ratio values. Suitable for middle school or high school students beginning trigonometry, as well as for classroom demonstrations to reinforce the relationship between angles and side ratios in right triangles.