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Trigonometry - Right Triangles: Self Test

Trigonometry - Right Triangles: Self Test
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2016-04-11 18:28
TriangleCircleTrigonometryGeometric Construction
This example demonstrates the relationships between trigonometric functions and geometric properties in right triangles. It involves core concepts such as trigonometric definitions, side length relationships in right triangles, and the connection between circles and triangles. Constructed using GeoGebra commands like Element, Circle, Segment, Midpoint, CircleArc, Intersect, Textfield, Length. Suitable for high school mathematics teaching and student self-practice to understand the connection between trigonometry and geometric figures.

GeoGebra Commands & Parameters

  1. Element(Element[problem, prnr], 2) → Q
  2. Element(Element[problem, prnr], 1) → P
  3. Circle(P, Length[Segment[P, Q]] / 6) → d
  4. Segment(P, Q) → hyp
  5. Segment(O, P) → adj
  6. Segment(O, Q) → opp
  7. Midpoint(O, P) → MOP
  8. Midpoint(O, Q) → MOQ
  9. Midpoint(P, Q) → MPQ
  10. CircleArc(P, (Q + (5 * P)) / 6, O) → c
  11. Element(Element[problem, prnr], 3) → angle
  12. Intersect(d, adj) → Pangle2,
  13. Intersect(d, hyp) → Pangle1,
  14. Midpoint(Pangle1, Pangle2) → PangleM
  15. Element(Element[problem, prnr], 4) → lengtho
  16. Element(Element[problem, prnr], 5) → lengtha
  17. Element(Element[problem, prnr], 6) → lengthh
  18. Element(Element[problem, prnr], 7) → vo
  19. Element(Element[problem, prnr], 8) → va
  20. Element(Element[problem, prnr], 9) → vh
  21. Textfield(a) → adjBox
  22. Textfield(o) → oppBox
  23. Textfield(h) → hypBox
  24. Length(problem) → length