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Orthocenter of a Triangle by MrsFowler

Orthocenter of a Triangle by MrsFowler
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2016-06-02 20:25
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the orthocenter of a triangle, which is the point where the three altitudes of a triangle intersect. By constructing the altitudes of a triangle, the orthocenter can be found. The example uses Segment, OrthogonalLine, Intersect, and Angle commands in GeoGebra. Suitable for middle and high school students to learn about triangle properties and geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(A, C) → g
  3. Segment(B, C) → h
  4. OrthogonalLine(A, h) → i
  5. OrthogonalLine(C, f) → j
  6. OrthogonalLine(B, g) → k
  7. Intersect(i, j) → X
  8. Angle(C, A, B) → α

AI Drawing Prompt Reference

Draw a triangle defined by three points A, B, and C. Draw the three sides: AB, AC, and BC. Construct three altitudes: a line through A perpendicular to BC, a line through C perpendicular to AB, and a line through B perpendicular to AC. These altitudes intersect at a point called the orthocenter. Finally, draw the angle CAB or angle CBA to show the angle relationships of the triangle.
The prompt above was compiled from the original drawing commands and is for reference only.