Part 5/6:
Continuing the exploration of similar triangles, trigonometric functions such as sine, cosine, and tangent help confirm the relationships among the angles and sides of triangles. For example, if you determined the tangent of an angle from the larger triangle, you could confirm it against the smaller triangle's corresponding angle.
The equality of these trigonometric ratios further substantiates that the triangles are similar, regardless of size modifications, as long as the corresponding angles are preserved.
Conclusion
The video emphasized that reducing triangles using division and similarity properties streams line the problem-solving process within geometry. Whether dealing with triangles of varying sizes or angles, the principles of proportionality and similarity are paramount.