Trigonometry in Non‑Right Triangles
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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
Point(Circle[C, 12]) → ASegment(C, A) → fPoint(Circle[C, 16]) → BSegment(C, B) → gSegment(A, B) → hDistance(A, B) → distanceABAngle(B, C, A) → αDistance(A, C) → distanceACDistance(B, C) → distanceBC