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Right Angle Triangle Ratios

Right Angle Triangle Ratios
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2018-01-05 03:20
TriangleTrigonometryGeometric Construction
In collections GCSE Higher Ch5 Angles & Trigonometry
This example demonstrates the ratios of sides in a right angle triangle. The core mathematical concepts involved are trigonometry. Using GeoGebra commands such as Line, Point, Segment, Rotate, OrthogonalLine, Intersect, etc., a right angle triangle is constructed and the changes in side ratios are observed. Suitable for students at the junior high school level and above to learn trigonometry and geometric construction.

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) → ρ
  11. Segment(B, C) → ψ
  12. Angle(B, A, B') → φ
  13. Segment(A, B) → χ
  14. Angle(C, B, A) → β
  15. Midpoint(χ) → F
  16. Midpoint(ψ) → G
  17. Midpoint(ρ) → H
  18. Polygon(A, C, B) → poly1, b_1, a_1, c_1