Let us now examine the triangle ABC and its Circumcirle.

Now construct an orthic triangle for the acute triangle ABC.

How does the orthic triangle compare with a triangle constructed out of the feet of the altitudes? It looks something like this.

Can any conjectures be made by the initial viewing of these two triangles?

Explore further using GSP. Click on the measurement buttons to verify any conjectures made.

Orthic Triangles & Altitude.gsp