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Square Pyramid Trigonometry Demo

Square Pyramid Trigonometry Demo
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2016-11-23 14:29
TrigonometrySolid GeometryGeometric Construction
This example demonstrates the geometric construction and trigonometric applications of a square-based pyramid. It involves core concepts like solid geometry, trigonometry, and area calculation. The construction uses GeoGebra commands such as Point, Intersect, Polygon, Pyramid, and Angle to create the pyramid, its vertices, faces, edges, angles, and height. Suitable for high school mathematics education, it illustrates the integration of spatial geometry and trigonometric functions.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Point(xAxis) → C
  3. Intersect(yAxis, zAxis) → D
  4. Polygon(A, B, C, D) → poly1, a, b, c, d
  5. Pyramid(poly1, 8) → e, E, faceABE, faceBCE, faceCDE, faceADE, edgeAE, edgeBE, edgeCE, edgeDE
  6. Polygon(C, F, E) → poly2, e_1, c_1, f
  7. Angle(E, F, C) → α
  8. Polygon(A, C, B) → poly3, b_1, a_1, c_2
  9. Angle(A, B, C) → β
  10. Polygon(F, M, E) → poly4, e_2, f_1, m
  11. Angle(M, F, E) → γ
  12. Angle(E, C, F) → δ
  13. Angle(E, M, F) → ε