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Orthocenter of a Triangle by elliepowers

Orthocenter of a Triangle by elliepowers
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2017-10-30 00:55
TriangleCoordinate GeometryGeometric Construction
This example illustrates the orthocenter of a triangle, which is the point where the three altitudes of a triangle intersect. By constructing triangle ABC and drawing its altitudes to find the intersection point H, the concept of the orthocenter is visually demonstrated. Commands used include Segment, Circle, Intersect, and Point. Suitable for middle school and above students to learn about triangle properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, A) → h
  4. Circle(B, Segment[B, C]) → c
  5. Circle(C, Segment[B, C]) → d
  6. Intersect(d, f, 1) → D
  7. Intersect(c, h, 2) → E
  8. Point(f) → F
  9. Circle(B, Segment[B, F]) → e
  10. Circle(D, Segment[B, F]) → k
  11. Intersect(e, k, 1) → G
  12. Segment(C, G) → i
  13. Point(h) → H
  14. Circle(C, Segment[H, C]) → p
  15. Circle(E, Segment[C, H]) → q
  16. Intersect(p, q, 2) → I
  17. Segment(B, I) → j
  18. Intersect(i, j) → J