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Constructing an Orthocenter

Constructing an Orthocenter
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2016-03-14 22:36
TriangleCoordinate GeometryGeometric Construction
This example demonstrates how to construct the orthocenter of a triangle in GeoGebra. The orthocenter is the intersection point of the three altitudes of a triangle. Key math concepts involved include triangle, altitude, perpendicular line, and intersection. Construction highlights the use of GeoGebra commands Polygon, OrthogonalLine, and Intersect with objects like points A, B, C, and poly1. Suitable for high school mathematics teaching and geometric construction learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. OrthogonalLine(A, a) → d
  3. OrthogonalLine(B, b) → e
  4. OrthogonalLine(C, c) → f
  5. Intersect(d, e) → D

AI Drawing Prompt Reference

Draw a triangle ABC, then draw the perpendicular lines d, e, and f from vertices A, B, and C to the opposite sides, respectively. Finally, find the intersection point D of lines d and e, which is the orthocenter of triangle ABC.
The prompt above was compiled from the original drawing commands and is for reference only.