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Isosceles Triangle by Marko Knežević

Isosceles Triangle by Marko Knežević
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2019-01-20 03:35
TriangleTrigonometry
This example demonstrates the properties of an isosceles triangle. Key mathematical concepts include trigonometry, geometric mean, and triangles. Using GeoGebra commands such as Point, Intersect, Segment, etc., an isosceles triangle is constructed and its properties are illustrated. Suitable for students at the junior high school level and above for geometric construction.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Intersect(xAxis, yAxis) → A
  3. Segment(A, B) → f
  4. Midpoint(f) → C_1
  5. OrthogonalLine(C_1, f) → g
  6. Point(g) → C
  7. Polygon(A, B, C) → t1, a, b, b_2
  8. Segment(C, C_1) → v_a
  9. OrthogonalLine(B, b_2) → h
  10. Intersect(h, b_2) → D
  11. Segment(B, D) → v_b
  12. Line(A, B) → i
  13. Line(C, A) → j
  14. Angle(A, C, B) → α
  15. Angle(B, A, C) → β
  16. Angle(C, C_1, A) → γ
  17. TableText({LaTeX[a, true, true]}, {LaTeX[b, true, true]}, {LaTeX[v_a, true, true]}, {LaTeX[v_b, true, true]}) → text1
  18. TableText({LaTeX[α, true, true]}, {LaTeX[β, true, true]}) → text2
  19. Polygon(C, C_1, A) → t2, a_1, c, c_1
  20. Angle(A, D, B) → δ
  21. Polygon(A, D, B) → t3, b_1, a_2, d_1
  22. Angle(C, B, A) → ε