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.
- 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
Irina Boyadzhiev's GeoGebra Applets