Trig Ratios Extension Question Draft 3

① This GeoGebra example demonstrates the relationship between trigonometric ratios (sine, cosine, tangent) and side lengths in a right triangle, serving as an extension question for teacher demonstration or student practice. ② Core mathematical concepts include definitions of trigonometric ratios, similar triangles, angle-side correspondences, and the invariance of ratios under similarity transformations. ③ Construction details: based on the summary, the example uses GeoGebra commands Segment, Polygon, and Angle, creating objects h, a, A, B, b, C, poly1, c, a_1, b_1, and angles α, β, γ. By manipulating these elements, learners can dynamically observe how trig ratios change with varying triangle shapes. ④ Suitable for high school trigonometry lessons, interactive teacher demonstrations, or student exploration of ratio concepts through geometric construction.