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Parts of a Triangle Area

Parts of a Triangle Area
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2016-02-25 02:07
Triangle
This example demonstrates the areas of the four parts of a triangle as a fraction of the whole. Key math concepts include area and fractions. Using GeoGebra commands such as Intersect, Point, and Polygon, the division of the triangle can be dynamically changed. Suitable for middle school and above students to learn about triangle area and fractions.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, C) → poly1, c, a, b
  4. Rotate(B, 60°, A) → Ceq
  5. Sequence(A + (i / N * (C - A)), i, 1, N - 1) → list1
  6. Sequence(B + (i / N * (C - B)), i, 1, N - 1) → list2
  7. Point(b) → D
  8. Segment(B, D) → d
  9. Point(a) → E
  10. Segment(A, E) → e
  11. Intersect(d, e) → F
  12. Polygon(A, F, D) → poly2, d_1, a_1, f
  13. Polygon(B, F, E) → poly3, e_1, b_1, f_1
  14. Polygon(B, F, A) → poly4, a_2, b_2, f_2
  15. Polygon(D, F, E, C) → poly5, d_2, f_3, e_2, c_1