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Area of a Triangle using Heron's Formula

Area of a Triangle using Heron's Formula
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2020-03-16 03:02
TriangleOptimizationGeometric Construction
This example demonstrates how to calculate the area of any triangle using Heron's formula. Key math concepts include Heron's formula, triangle side lengths, semi-perimeter, and area calculation. It is constructed using GeoGebra commands/objects like Textfield, Polygon, InteriorAngles, Centroid, Rotate, FractionText. Suitable for middle school students and above to learn and understand triangle area calculation methods, as well as for mathematical teaching demonstrations.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBox1
  2. Textfield(b) → InputBox2
  3. Textfield(c) → InputBox3
  4. Polygon(B, C, A) → t1, a_1, b_1, c_1
  5. InteriorAngles(t1) → δ, ε, ζ
  6. Centroid(t1) → D
  7. Rotate(B, aA, D) → B'
  8. Rotate(C, aA, D) → C'
  9. Rotate(A, aA, D) → A'
  10. Polygon(B', C', A') → t1', a', b', c'
  11. FractionText(s) → text1
  12. FractionText(p4) → text3
  13. FractionText(Ac) → text4
  14. Textfield(aA) → InputBox4