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Base vs Height for Constant Area Triangle

Base vs Height for Constant Area Triangle
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2018-07-04 19:53
TriangleFunctionCoordinate GeometryGeometric Construction
This example demonstrates the relationship between the base and height of a triangle when the area is constant. It involves core mathematical concepts such as the area formula for triangles, functional relationships, and coordinate geometry. The construction uses commands like Segment, Line, Point, OrthogonalLine, Circle, Intersect, Polygon, and TableText in GeoGebra. Suitable for high school mathematics education to understand the interdependence of geometric quantities under constant area conditions.

GeoGebra Commands & Parameters

  1. Segment(A, B) → base
  2. Line(A, B) → g
  3. Point(g) → C_1
  4. OrthogonalLine(C_1, g) → f
  5. Circle(C_1, h) → c
  6. Intersect(c, f, 2) → D
  7. OrthogonalLine(D, f) → i
  8. Point(i) → C
  9. Segment(A, C) → j
  10. Segment(C, B) → k
  11. Polygon(C, A, B) → t1, b, c_1, a
  12. OrthogonalLine(C, g) → l
  13. Intersect(l, g) → E
  14. Segment(C, E) → height
  15. TableText({bdata, hdata}, "c|v") → text1