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.