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Triangle Orthocenter

Triangle Orthocenter
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2016-03-10 01:59
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the orthocenter of a triangle, which is the point where the three altitudes of a triangle intersect. Using GeoGebra commands such as Polygon, Point, Circle, Intersect, and Line, a dynamic construction of a triangle and its orthocenter is created. Suitable for middle school and above students to learn triangle geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Point(c) → D
  3. Circle(B, D) → d
  4. Circle(C, Segment[B, D]) → e
  5. Intersect(e, b, 1) → E
  6. Point(c) → F
  7. Circle(A, F) → f
  8. Circle(B, Segment[A, F]) → g
  9. Intersect(f, g, 1) → G
  10. Line(C, G) → h
  11. Circle(C, Segment[A, F]) → k
  12. Intersect(f, k, 2) → H
  13. Line(B, H) → i
  14. Intersect(h, i) → I