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Orthocenter of a Right Triangle

Orthocenter of a Right Triangle
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2019-04-15 01:30
TriangleVectorCoordinate Geometry
This example demonstrates the orthocenter of a right triangle, which is the point where the three altitudes of the triangle intersect. By constructing the altitudes of the triangle, the orthocenter can be found. The example uses commands such as Line, OrthogonalLine, Intersect, and Polygon. Suitable for middle school and above students to learn about triangle properties.

GeoGebra Commands & Parameters

  1. Line(A, C) → f
  2. Line(B, C) → g
  3. Line(B, A) → h
  4. OrthogonalLine(B, f) → i
  5. OrthogonalLine(A, g) → j
  6. OrthogonalLine(C, h) → k
  7. Intersect(i, j) → D
  8. Polygon(A, C, B) → t1, b, a, c

AI Drawing Prompt Reference

Draw a right triangle ABC with A as the right angle. First, draw side BC. Then, construct a perpendicular line from B to BC, a perpendicular line from A to BC, and a perpendicular line from C to AB. The intersection of these three perpendicular lines is the orthocenter D of the right triangle.
The prompt above was compiled from the original drawing commands and is for reference only.