Triangle ABC has Altitudes AD, BE and CF. If AD = 12, BE = 14 and CF is a positive integer, then find the largest possible value of CF.

So far, I only found

(14*c)/2 = (12*b)/2 = (CF*a)/2

c+b > a

26 > CF

7c = 6b = CF*c/2 = x

x/7 = c, x/6 = b, 2x/CF = a

x/7+ x/6 > 2x/CF

Guest Jan 2, 2020

#1**+1 **

Find an inequality that relates the sength of the altitudes in a triangle (you may have to consider area and side lengths.

Guest Jan 2, 2020