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Intro to Right Triangle Trigonometry by Nicola Trubridge

Intro to Right Triangle Trigonometry by Nicola Trubridge
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2018-01-05 03:25
TriangleAngleTrigonometryGeometric ConstructionSlider Animation
In collections GCSE Higher Ch5 Angles & Trigonometry
This example demonstrates that in similar right triangles, the ratios of any two sides remain constant. It involves core concepts like right triangles, similarity (AA Theorem), and trigonometric ratios (sine, cosine, tangent). Constructed using commands like Ray, OrthogonalLine, Point, Rotate, etc., it's suitable for middle school and above to understand trigonometric definitions and similarity properties.

GeoGebra Commands & Parameters

  1. Ray(A, C) → a_1
  2. OrthogonalLine(C, a_1) → b
  3. Point(b) → C_1
  4. Ray(C, C_1) → c
  5. Rotate(C, β, A) → B'
  6. Angle(C, A, B') → α
  7. Ray(A, B') → d
  8. Intersect(c, d) → D
  9. Segment(A, D) → hyp
  10. Segment(A, C) → adj
  11. Segment(C, D) → opp
  12. Angle(D, C, A) → γ
  13. Polygon(A, C, D) → poly1, d_1, a, b_1