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Orthocenter of a Right Triangle by GStunna of 810

Orthocenter of a Right Triangle by GStunna of 810
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2017-01-24 03:36
TriangleAngleGeometric Construction
This example demonstrates the orthocenter of a right triangle, which is the point where the three altitudes of the triangle intersect. Using GeoGebra commands such as Polygon, OrthogonalLine, Intersect, Segment, and Angle, the construction of a right triangle and the finding of its orthocenter are illustrated. Suitable for students at the junior high school level and above to learn geometric construction and triangle properties.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. OrthogonalLine(A, a) → f
  3. Intersect(f, a) → D
  4. Segment(A, D) → g
  5. Angle(A, D, B) → α
  6. OrthogonalLine(B, b) → h
  7. Intersect(h, b) → E
  8. Segment(E, B) → i
  9. Angle(B, E, C) → β
  10. OrthogonalLine(C, c) → j
  11. Intersect(j, c) → F
  12. Segment(F, C) → k
  13. Angle(C, F, A) → γ
  14. Intersect(g, i) → G

AI Drawing Prompt Reference

Draw a right triangle with vertices at the top-left, bottom-right, and bottom-left. From each vertex, draw a perpendicular line to the opposite side, marking the foot of each perpendicular. Connect each vertex to its corresponding foot to form three altitudes. At each foot, indicate a right angle symbol. The three altitudes intersect at a single point, which is the orthocenter of the right triangle; mark this point clearly. The diagram should show the triangle, the three altitudes, the feet, right angle marks, and the orthocenter.
The prompt above was compiled from the original drawing commands and is for reference only.