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Heron's Formula for Area and Inradius

Heron's Formula for Area and Inradius
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2017-08-10 02:41
TriangleCircleOptimizationGeometric Construction
This example demonstrates calculating the area of a triangle using Heron's formula and subsequently finding the inradius. It involves core concepts like Heron's formula, triangle area, incircle, and geometric construction. Constructed using commands like Random, Circle, Intersect, Polygon, and Incircle. Suitable for high school mathematics education, focusing on geometric calculations and optimization problems.

GeoGebra Commands & Parameters

  1. Random(5, 10) → a
  2. Random(a, (2 * a)) → b
  3. Circle((a, 0), b) → d
  4. Random(a, (2 * a)) → c
  5. Circle(((-a), 0), c) → e
  6. Circle((0, 0), a) → f
  7. Intersect(d, e, 2) → A
  8. Polygon((a, 0), ((-a), 0), A) → poly1, a_1, j, k
  9. Textfield(ans1) → InputBox1
  10. Textfield(ans2) → InputBox2
  11. Incircle((a, 0), ((-a), 0), A) → g
  12. Radius(g) → inc2