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Right Triangle Trigonometry Ratios

Right Triangle Trigonometry Ratios
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2015-11-26 09:52
TriangleTrigonometryGeometric Construction
This example demonstrates the trigonometric ratios in a right triangle. It involves basic properties of right triangles and trigonometric functions. Using GeoGebra commands such as Line, Point, OrthogonalLine, Dilate, Segment, Angle, and Polygon, it constructs a right triangle and illustrates the relationships between its sides and angles. Suitable for middle school and above students to learn trigonometry and geometric construction.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Point(a) → C
  3. Point(a) → D
  4. OrthogonalLine(C, a) → b
  5. Point(b) → E
  6. Dilate(D, f, C) → D'
  7. Dilate(E, c, C) → E'
  8. Dilate(D', scale, C) → D''
  9. Dilate(E', scale, C) → E''
  10. Segment(C, E'') → d
  11. Segment(E'', D'') → e
  12. Segment(D'', C) → g
  13. Angle(D'', C, E'') → α
  14. Polygon(C, D'', E'') → poly1, e'', c_1, d''
  15. Angle(E'', D'', C) → β
  16. Angle(C, E'', D'') → γ