I need help with altitudes
Triangle ABC has altitudes AD, BE, and CF. If AD = 12, BE = 18, and CF is a positive integer, then find the largest possible value of CF.
Obtuse scalene triangle.
Sides: a = 183.363 b = 122.242 c = 62.867
Area: T = 1100.179
Perimeter: p = 368.473
Semi-perimeter: s = 184.236
Angle ∠ A =163.362° = 163°21'45″ = 2.851 rad
Angle ∠ B =11.004° = 11°15″ = 0.192 rad
Angle ∠ C =5.634° = 5°38'1″ = 0.098 rad
Height: ha = 12
Height: hb = 18
Height: hc = 35 - this is the largest positive integer for the value of CF
