Trigonometry in Non‑Right Triangles

Trigonometry in Non‑Right Triangles
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2017-05-16 01:36
This example shows how to apply the Law of Sines and Law of Cosines to solve side lengths and angles in any triangle that is not a right triangle. Core concepts include the extension of trigonometric functions to arbitrary triangles, the sine and cosine rules, and the correspondence between sides and opposite angles. Construction uses GeoGebra commands: Point for vertices A, B, C; Segment to form the three sides; Distance to compute side lengths distanceAB, distanceAC, distanceBC; Angle to measure interior angle α; and Text objects TextAB, TextAC, TextBC to display the numeric lengths. It is suitable for high‑school trigonometry lessons (e.g., Grade 11/12) and for teachers creating interactive classroom materials or students exploring the topic independently.

GeoGebra Commands & Parameters

  1. Point(Circle[C, 12]) → A
  2. Segment(C, A) → f
  3. Point(Circle[C, 16]) → B
  4. Segment(C, B) → g
  5. Segment(A, B) → h
  6. Distance(A, B) → distanceAB
  7. Angle(B, C, A) → α
  8. Distance(A, C) → distanceAC
  9. Distance(B, C) → distanceBC