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Opposite and Hypotenuse in Right Triangles

Opposite and Hypotenuse in Right Triangles
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2020-06-28 19:50
AngleTrigonometryGeometric Construction
This example demonstrates the relationship between the opposite and hypotenuse in right triangles. Key mathematical concepts include trigonometry and geometric construction. Using commands like Rotate, Angle, and Segment, multiple right triangles are constructed to illustrate the ratio between the opposite and hypotenuse. Suitable for students at the junior high school level and above for learning trigonometry and geometric construction.

GeoGebra Commands & Parameters

  1. Rotate(F, 52°, G) → F'
  2. Angle(F, G, F') → γ
  3. Segment(F, G) → i
  4. Segment(G, F') → j
  5. OrthogonalLine(F, j) → k
  6. Intersect(k, j) → H
  7. Angle(G, H, F) → δ
  8. Segment(H, F) → l
  9. Segment(H, G) → f