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Trig Ratios Given Sides

Trig Ratios Given Sides
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2012-03-17 12:43
TriangleTrigonometryGeometric Construction
In collections Trig Ratios
This example demonstrates how to draw a triangle with given side lengths and calculate its trigonometric ratios. Key math concepts include trigonometric functions, triangle geometry, and side length relationships. Construction highlights the use of GeoGebra commands/objects: Point, Segment, OrthogonalLine, and Angle. Suitable for high school geometry and trigonometry instruction, helping students understand the relationship between side lengths and trigonometric ratios.

GeoGebra Commands & Parameters

  1. Point(Circle[A, a]) → B
  2. Segment(A, B) → c
  3. OrthogonalLine(B, c) → d
  4. Point(Circle[B, b]) → C
  5. Segment(B, C) → e
  6. Angle(C, B, A) → α
  7. Segment(A, C) → f
  8. Angle(B, A, C) → β
  9. Angle(A, C, B) → γ