we will construct the orthocenter of Triangle ABC. In order
to do this we need to find all of the Altitudes of the triangle.
The point where all of these Altiitudes meet will be the
orthocenter of the tirangle. We will call the Orthocenter point
we will construct each of the points where the altitude intersects the
opposite side of the triangle. This will be the feet of the
perpendiculars. Points D, E, and F will be the feet of the
perpendiculars from A,B, and C respectively.
First we are going to prove the following.
Now we will prove the following.