Write-Up #8
Altitudes and Orthocenters
By Jaepil Han
Problem 6. Given acute triangle ABC. Construct the Orthocenter H. Let points D, E, and F be the feet of the perpendiculars from A, B, and C respectfully.
(a) Prove HD/AD + HE/BE + HF/CF = 1
(b) Prove AH/AD + BH/BE + CH/CF = 2
