Area of Triangles in a Rectangle

Area of Triangles in a Rectangle
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2018-07-01 10:24
This example demonstrates how to construct triangles within a rectangle and calculate their areas. Key math concepts include triangle area formulas, rectangle properties, Pythagorean theorem, and coordinate geometry. Construction highlights the use of GeoGebra commands/objects like Segment, OrthogonalLine, Point, Intersect, Polygon, Distance, and PointIn. Suitable for middle school and above students learning geometric constructions and area calculations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. OrthogonalLine(A, f) → g
  3. OrthogonalLine(B, f) → h
  4. Point(g) → C
  5. OrthogonalLine(C, g) → i
  6. Intersect(h, i) → D
  7. Segment(A, C) → j
  8. Segment(C, D) → k
  9. Segment(D, B) → l
  10. Polygon(A, E, C) → poly1, c, a, e
  11. Polygon(B, E, D) → poly2, d, b, e_1
  12. Distance(A, B) → distanceAB
  13. Distance(A, C) → distanceAC
  14. PointIn(poly1) → Pointpoly1
  15. PointIn(poly2) → Pointpoly2