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Right Triangle Trigonometry

Right Triangle Trigonometry
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2015-05-31 08:33
TriangleTrigonometryGeometric Construction
This example demonstrates the relationship between side ratios and trigonometric functions in right triangles. Key math concepts include similar triangles, sine, cosine, and tangent functions. It is constructed using commands like Line, Point, Segment, Rotate, OrthogonalLine, Intersect, Angle, Midpoint, Polygon. Suitable for high school mathematics teaching and learning the application of trigonometric functions.

GeoGebra Commands & Parameters

  1. Line(A, xAxis) → a
  2. Point(a) → E
  3. Point(a) → D
  4. Segment(E, D) → g
  5. Point(a) → B
  6. Rotate(B, θ, A) → B'
  7. Line(A, B') → c
  8. OrthogonalLine(B, xAxis) → b
  9. Intersect(b, c) → C
  10. Segment(C, A) → r
  11. Segment(B, C) → y'
  12. Angle(B, A, B') → φ
  13. Segment(A, B) → χ
  14. Angle(C, B, A) → β
  15. Midpoint(χ) → F
  16. Midpoint(y') → G
  17. Midpoint(r) → H
  18. Polygon(A, C, B) → poly1, b_1, a_1, c_1