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Right Angled Triangle in a Circle

Right Angled Triangle in a Circle
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2019-05-27 04:56
TriangleCircleAngleTrigonometryGeometric Construction
In collections Right Angled Triangles
This example demonstrates the properties of a right-angled triangle inscribed in a circle. Key mathematical concepts include the properties of right-angled triangles, circle properties, and trigonometry. Using GeoGebra commands such as Segment, Polygon, Intersect, and Angle, a right-angled triangle in a circle can be constructed. Suitable for students at the junior high school level and above for geometric construction and trigonometry learning.

GeoGebra Commands & Parameters

  1. Segment(D, B) → f
  2. Segment(B, L) → g
  3. Segment(L, K) → h
  4. Segment(K, H) → i
  5. Segment(H, F) → j
  6. Segment(F, D) → k
  7. Segment(D, L) → l
  8. Segment(L, H) → m
  9. Segment(H, D) → n
  10. Segment(D, A) → p
  11. Segment(A, K) → q
  12. Segment(K, G) → r
  13. Segment(G, D) → s
  14. Polygon(I, G, C) → t2, c_1, i_1, g_1
  15. Intersect(c_1, i_1) → U
  16. Intersect(i_1, g_1) → Z
  17. Intersect(c_1, g_1) → B_1
  18. Angle(B_1, U, Z) → α