Drag the vertices of the triangle and explore how the special points position changes, depending on the characteristics of the triangle (acute, obtuse, right, isosceles,...)
Use the GeoGebra tools to build the main special points of the triangle, then verify your construction by selecting the related check box.[br]
Check the [i]Euler line[/i] box to explore the alignment property of orthocenter, barycenter and circumcenter.[br]Use the measuring tools of GeoGebra to verify the property [math]length\left(OG\right)=2\cdot length\left(GK\right)[/math]
The circumcenter can be a point outside the triangle?[br]And a point on the perimeter?
The orthocenter can be a point outside the triangle?[br]And a point on the perimeter?