#### Altitudes and Orthocenters

by
#### Julia Neal

Given Triangle ABC.

Construct the Orthocenter H.

Let Points D, E, and F, be the feet of the
perpendiculars from A, B, and C respectfully.

We want to Prove two things about the relationships
of the segments in this sketch:

and
Click **here**
to proceed to the proof of the first conjecture.

Click **here**
to proceed to the proof of the second conjecture.

Click **here**
for a discussion of whether these conjectures hold for an obtuse
triangle.

Click **here**
to return to Julie's main page.