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Germany: Pyramid Shadow Area

Germany: Pyramid Shadow Area
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2017-02-18 01:58
PolygonSolid GeometryGeometric Construction
This example demonstrates calculating the area of a polygon representing the shadow of a pyramid. It involves core math concepts like polygons, real numbers, triangles, binomial distribution, sequences and series, and fractions. Construction uses GeoGebra commands such as Polygon, Pyramid, Line, and Intersect to build the pyramid and shadow. Suitable for high school mathematics teaching on solid geometry and area calculations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → Vieleck1, a, b, c, d
  2. Pyramid(Vieleck1, S) → e, FlächeABS, FlächeBCS, FlächeCDS, FlächeADS, KanteAS, KanteBS, KanteCS, KanteDS
  3. Line((x(S), y(S), z(S)), Vector[(x(v), y(v), z(v))]) → lighttip
  4. Intersect(lighttip, Boden) → shadowtip_1
  5. Polygon(shadowtip_1, B, A) → shadowarea, a_1, shadowtip, b_1