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Length and Angles in a Pyramid

Length and Angles in a Pyramid
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2017-01-14 17:20
AngleSolid GeometryGeometric Construction
This example demonstrates the calculation and visualization of lengths and angles within a pyramid. It involves core mathematical concepts such as solid geometry, angle measurement, and polygon properties. Constructed using GeoGebra commands like Point, Intersect, Polygon, Pyramid, Segment, and Angle, it is suitable for high school students and math enthusiasts exploring solid geometry.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Intersect(xAxis, yAxis) → B
  3. Point(xAxis) → C
  4. Polygon(A, B, C, D) → poly1, a, b, c, d
  5. Pyramid(poly1, -30) → e, V, faceABE, faceBCE, faceCDE, faceADE, edgeAE, edgeBE, edgeCE, edgeDE
  6. Segment(C, N) → f
  7. Segment(N, V) → g
  8. Angle(V, N, C) → α
  9. Polygon(A, C, D) → poly2, d_1, a_1, c_1
  10. Angle(A, D, C) → β
  11. Polygon(V, N, C) → poly3, c_2, v, n
  12. Angle(V, C, N) → θ