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Exploring Right Triangle Ratios

Exploring Right Triangle Ratios
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2020-01-11 04:06
AngleTrigonometryGeometric Construction
This example demonstrates the ratio relationships in right triangles. Key mathematical concepts include trigonometric functions such as sine, cosine, and tangent. Using GeoGebra commands like Segment, Point, Rotate, Angle, Line, and Intersect, the construction of the sides and angles of a right triangle is illustrated. Suitable for middle school and above students to learn trigonometry and geometric construction.

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