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Orthocenter and Circumcenter Relationship by D Lee

Orthocenter and Circumcenter Relationship by D Lee
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2016-02-05 23:09
TriangleCircleCoordinate Geometry
This example illustrates the relationship between the orthocenter and circumcenter of a triangle. Key mathematical concepts include the orthocenter and circumcenter of a triangle. Using GeoGebra commands such as Polygon, Circle, OrthogonalLine, Intersect, etc., the orthocenter and circumcenter of a triangle can be constructed, and the distances between them can be measured. Suitable for high school geometry learners and teachers.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Circle(A, B, C) → d
  3. OrthogonalLine(A, a) → e
  4. OrthogonalLine(B, b) → f
  5. Intersect(e, f) → H
  6. Center(d) → O
  7. OrthogonalLine(O, a) → g
  8. Intersect(g, a) → D
  9. Distance(A, H) → distanceAH
  10. Distance(O, D) → distanceOD