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Exploring Right Triangle Ratios by Nicole Hafele (2)

Exploring Right Triangle Ratios by Nicole Hafele (2)
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2017-01-24 04:38
AngleTrigonometryGeometric Construction
This example demonstrates how to explore the ratios of side lengths and angles in right triangles using GeoGebra. Key math concepts include trigonometric functions, Pythagorean theorem, and angle measurement. Construction highlights involve using commands like Segment, Point, Rotate, Angle, Line, and Intersect to create right triangles and display their ratio values. Suitable for middle school and above students to understand trigonometry and geometric constructions.

GeoGebra Commands & Parameters

  1. Segment((0, 0), (10, 0)) → a
  2. Point(a) → A
  3. Segment((0, 0), A) → adj
  4. Rotate(B, (-α), A) → B'
  5. Angle(B', A, B) → β
  6. Line(A, B') → c
  7. Intersect(c, yAxis) → C
  8. Segment(C, B) → opp
  9. Segment(C, A) → e
  10. Angle(B, C, A) → γ
  11. Angle(A, B, C) → δ