Euler's Discover
Task 1
-Open a new GeoGebra window and import your three custom tools
(circumcenter.ggt, orthocenter.ggt and centroid.ggt) into the Toolbar.
Create an arbitrary triangle ABC and apply all three custom tools to the
triangle in order to create the circumcenter, orthocenter and centroid
within the same triangle.
-Move the vertices of triangle ABC and observe the three ‘remarkable’
points you just constructed. Which relationship do they have? Use one of
GeoGebra’s geometry tools in order to visualize this relationship.