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Proof of Triangle Area

Proof of Triangle Area
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2018-12-09 20:52
TriangleCoordinate GeometryGeometric Construction
In collections Proof of Sine Rule, Cosine Rule, Area of a Triangle
This example demonstrates the proof of the area formula for a triangle using geometric construction. Key mathematical concepts include the area calculation of a triangle and geometric construction. It utilizes commands such as Intersect, Point, Segment, and Angle in GeoGebra. Suitable for middle school and above students to learn geometric proofs and area calculations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → B
  2. Point(xAxis) → C
  3. Segment(A, B) → c
  4. Segment(B, C) → a
  5. Segment(C, A) → b
  6. Segment(A, X) → h
  7. Segment(A, X) → f
  8. Segment(B, C) → g
  9. Angle(A, X, B) → α

AI Drawing Prompt Reference

Draw a coordinate system with x and y axes. Take a point on the x-axis and connect it to the origin to form a horizontal segment. Then take another point on the x-axis and connect it to one end of the horizontal segment to form a triangle. Draw a perpendicular line from the top vertex of the triangle to the opposite side to indicate the height, and label the angle between the height and the base of the triangle.
The prompt above was compiled from the original drawing commands and is for reference only.