A triangle is given.
Do not read the theorem statement. Move the vertices of triangle , and observe how triangle changes accordingly.
Use GeoGebra tools to discover the common properties of points H, G and I, and of triangle , which are always independent from the position of points A, B and C.
Write on paper the Hypothesis and the Thesis of the theorem you see in this construction.
Now show the theorem's Statement by clicking the related checkbox, and compare "your" statement and the theorem's statement.
You can also view and discover the Fermat's circles of the sides of the triangle, by clicking the related checkbox.