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Incircle of a Triangle by GeoGebra Team

Incircle of a Triangle by GeoGebra Team
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2019-05-27 15:01
TriangleCircle
In collections Learn Geometry
This example demonstrates how to construct the incircle of a triangle using GeoGebra. Key mathematical concepts include angle bisectors and circle properties. Using commands such as Polygon, AngularBisector, Intersect, OrthogonalLine, Circle, Segment, and Angle, the construction of the incircle is achieved. Suitable for students at the junior high school level and above for geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. AngularBisector(C, A, B) → f
  3. AngularBisector(B, C, A) → g
  4. Intersect(g, f) → D
  5. OrthogonalLine(D, b) → h
  6. Intersect(b, h) → E
  7. Circle(D, E) → d
  8. Segment(D, E) → i
  9. Angle(A, E, D) → α

AI Drawing Prompt Reference

Draw the incircle of triangle ABC. First, draw triangle ABC. Then, find the angle bisectors of angle BAC and angle ABC, which intersect at point D. Next, draw a perpendicular line from point D to side BC, and let the intersection be point E. Finally, draw a circle with diameter DE, which is the incircle of triangle ABC.
The prompt above was compiled from the original drawing commands and is for reference only.