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Scalene Triangle Volume and Logarithmic Function

Scalene Triangle Volume and Logarithmic Function
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2017-02-11 01:40
TriangleFunctionCoordinate Geometry
In collections Mapping Diagrams: From AB to C&DE, Resource
This example demonstrates the calculation of the volume of a scalene triangle and the application of logarithmic functions. It constructs a scalene triangle and uses logarithmic functions to calculate its volume. GeoGebra commands such as Point, Vector, Segment, Textfield, and Sequence are utilized. Suitable for high school mathematics education, particularly for coordinate geometry and function graphing.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A_1
  2. Vector(A_1, B) → u
  3. Segment((0, -5), (0, a_1)) → c
  4. Segment((0, a_1), (0, a_2)) → d
  5. Segment((0, a_2), (0, 5)) → e
  6. Textfield(f_1) → inputBox1
  7. Textfield(f_2) → inputBox2
  8. Textfield(f_3) → inputBox3
  9. Textfield(f_1) → inputBox4
  10. Textfield(f_2) → inputBox5
  11. Sequence(Vector[(0, k), (2, f(k))], k, -3, 3, 0.5) → list1
  12. Sequence((k, f(k)), k, -3, 3, 0.5) → list2
  13. Textfield(f_3) → inputBox6