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Acute Triangle

Acute Triangle
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2015-04-28 13:23
TriangleAngleGeometric Construction
In collections Area of Polygons
This example demonstrates the properties of an acute triangle, which is a triangle with all angles less than 90 degrees. Using GeoGebra commands such as Ray, Segment, OrthogonalLine, and Intersect, an acute triangle can be constructed and the relationships between its sides and angles can be observed. Suitable for students at the junior high school level and above to learn basic properties of triangles.

GeoGebra Commands & Parameters

  1. Ray(B, C) → a
  2. Segment(A, B) → b
  3. Segment(B, C) → c
  4. Segment(C, A) → d
  5. OrthogonalLine(A, c) → e
  6. Intersect(e, c) → D
  7. Segment(A, D) → f
  8. Angle(A, D, B) → α
  9. Segment(B, D) → g
  10. Segment(D, C) → h

AI Drawing Prompt Reference

Draw an acute triangle where all interior angles are less than 90 degrees. Start by constructing the three sides of the triangle. Then, from one vertex, draw a perpendicular line to the opposite side, marking the foot of the perpendicular on that side. Connect the vertex to this foot to form the altitude. Finally, indicate the acute angle formed between the altitude and the base, and show the two segments into which the altitude divides the base.
The prompt above was compiled from the original drawing commands and is for reference only.