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Area of Triangle Exploration

Area of Triangle Exploration
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2014-04-08 01:01
TriangleCoordinate GeometryGeometric Construction
This example demonstrates exploring the area of a triangle through geometric construction. Key mathematical concepts include the formula for the area of a triangle. It uses commands such as Polygon, Line, OrthogonalLine, Point, Intersect, Segment, and PointIn in GeoGebra. Suitable for middle school and above students to learn triangle area calculation.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Line(A, a) → d
  3. OrthogonalLine(A, d) → e
  4. Point(d) → F
  5. Line(B, C) → f
  6. OrthogonalLine(F, f) → g
  7. Polygon(F, B, C) → Area, c_1, f_1, b_1
  8. Intersect(g, f) → D
  9. Segment(F, D) → Height
  10. Segment(B, C) → Base
  11. PointIn(Area) → PointArea