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Area of a Triangle and SAS

Area of a Triangle and SAS
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2016-03-17 18:34
TriangleAngleGeometric Construction
This example demonstrates how to calculate the area of a triangle using the SAS theorem. Key concepts include the area formula of a triangle and the SAS theorem. Through steps such as constructing a triangle, rotating, and measuring angles, it shows how to use GeoGebra commands like Point, Circle, Rotate, Angle, Segment, etc., for geometric construction. Suitable for middle school and above students to learn about triangle-related knowledge.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Circle(B, BC) → c
  3. OrthogonalLine(B, xAxis) → b
  4. OrthogonalLine(B, b) → d
  5. Point(d) → C_1
  6. Rotate(C_1, (-ABC), B) → C'
  7. Angle(C', B, C_1) → β
  8. Ray(B, C') → e
  9. Intersect(c, e, 1) → C
  10. Point(b) → D
  11. Segment(B, D) → f
  12. Dilate(B, AB, B) → A'
  13. Dilate(D, AB, B) → D'
  14. Segment(A', D') → f'
  15. Rotate(D', 90°, B) → A
  16. Polygon(B, C, A) → poly1, d'', a_1, b_1
  17. Area(c) → h
  18. PointIn(c) → Pointc
  19. PointIn(poly1) → Pointpoly1