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Triangle Area with Same Base

Triangle Area with Same Base
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2015-11-13 10:19
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the relationship between the areas of triangles with the same base. Key mathematical concepts include the formula for the area of a triangle. Construction highlights include using GeoGebra commands Line, Point, Polygon, Segment to create triangles and observing area changes by adjusting the base length. Suitable for middle school and above students to learn triangle area calculation.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(C, a) → b
  3. Point(a) → D
  4. Point(a) → E
  5. Point(b) → F
  6. Polygon(D, E, F) → poly1, f, d, e
  7. Point(b) → G
  8. Polygon(D, G, E) → poly2, e_1, d_1, g
  9. Segment(F, G) → c
  10. Segment(D, E) → h

AI Drawing Prompt Reference

Draw two triangles with the same base on a line, and then draw heights from different points on this line to form the triangles. Observe and adjust the base length to see how the areas of the two triangles change.
The prompt above was compiled from the original drawing commands and is for reference only.