Exercise 2.10 - Finding the circumcenter

Exercise 2.10 - Finding the circumcenter
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2016-04-08 16:15
This example demonstrates how to geometrically construct the circumcenter of a triangle. The circumcenter is the intersection point of the perpendicular bisectors of the triangle's sides and serves as the center of the circumscribed circle. Key mathematical concepts include segments, circles, intersections, and lines. The construction involves using GeoGebra commands such as Segment, Circle, Intersect, and Line to draw the triangle's sides, their perpendicular bisectors, and ultimately locate the circumcenter. Suitable for high school mathematics education, helping students understand and master geometric properties and construction techniques of triangles.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(B, C) → b
  3. Segment(C, A) → c
  4. Circle(A, C) → d
  5. Circle(C, A) → e
  6. Intersect(d, e, 2) → D
  7. Intersect(d, e, 1) → E
  8. Line(E, D) → h
  9. Circle(C, B) → f
  10. Circle(B, C) → g
  11. Intersect(f, g, 1) → F
  12. Intersect(f, g, 2) → G
  13. Line(F, G) → i
  14. Intersect(h, i) → H
  15. Circle(H, B) → k