Wednesday, January 29, 2014

The Area of the Median Triangle - Dynamic Proof

Let ABC be a given triangle. The triangle with sides equal to the medians of ABC is called the Median Triangle.
We will show that the area of the median triangle is 3/4 of the area of the original triangle ABC.
  •  Drag the two sliders to the end to construct the median triangle by translating the medians.
To rearrange the area of the median triangle:
  • Click the Rearrange checkbox. This will show a green point at the vertex of the median triangle. 
  •  Drag the green point to C.
  •  Drag the green point at B to Mc
  • Drag the green point at Ma to Mc

Irina Boyadzhiev, 29 January 2014, Created with GeoGebra

Download applet
Irina Boyadzhiev's  GeoGebra Applets

No comments:

Post a Comment