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Find Included Angle from Triangle's Area

Find Included Angle from Triangle's Area
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2016-02-28 13:46
TriangleAngleGeometric Construction
This example demonstrates how to calculate the included angle using the area of a triangle. Key mathematical concepts include the area formula of a triangle and angle calculation. GeoGebra commands used include text field, point, segment, circle, intersection, polygon, and angle, suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Textfield(b) → InputBox1
  2. Textfield(c) → InputBox2
  3. Textfield(ar) → InputBox3
  4. Point(Circle[D, c]) → E
  5. Segment(D, E) → a
  6. Circle(D, b) → d
  7. Circle(E, a_1) → e
  8. Intersect(d, e, 1) → A
  9. Polygon(A, D, E) → poly1, e_1, a_2, d_1
  10. Angle(E, D, A) → α
  11. Point(Circle[B, c]) → C
  12. Segment(B, C) → f
  13. Circle(B, b) → h
  14. Circle(C, a_3) → k
  15. Intersect(h, k, 1) → F
  16. Polygon(B, F, C) → poly2, c_1, b_1, f_1
  17. Angle(C, B, F) → β