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SSA Triangles

SSA Triangles
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2017-05-09 12:14
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the construction of SSA (two sides and an included angle) triangles. Key mathematical concepts include the properties of triangles and geometric construction. Using GeoGebra commands such as Point, Rotate, Intersect, etc., the construction process is dynamically shown. Suitable for students at the junior high school level and above to learn about triangle-related knowledge.

GeoGebra Commands & Parameters

  1. Point(Semicircle[(x(H) - 4, y(H)), (x(H) + 4, y(H))]) → J
  2. Rotate(A, 330°, B) → A'
  3. Angle(A', B, A) → α
  4. Intersect(Circle[A, 6], Line[B, A']) → C_1, C
  5. Polygon(A, B, C) → poly1, c, a, b
  6. Point(Ray[D, (x(D) + 1, y(D))]) → E
  7. Segment(D, E) → d
  8. Point(Ray[F, (x(F) + 1, y(F))]) → G
  9. Segment(F, G) → e
  10. Angle(J, H, I) → β
  11. Rotate(P, (-γ), Q) → P'
  12. Angle(P', Q, P) → δ
  13. Point(Circle[P, d]) → R
  14. Rotate(I, (-γ), H) → I'
  15. Angle(I', H, I) → ε
  16. Segment(I, H) → g
  17. Segment(J, H) → h
  18. Ray(Q, P') → i
  19. Intersect(OrthogonalLine[R, i], i) → K
  20. Polygon(P, Q, R) → poly2, r, p, q
  21. If(Distance[R, K] < 0.01, true, false) → on