I need help with altitudes
Triangle ABC has altitudes AD, BE, and CF. If AD = 12, BE = 12, and CF is a positive integer, then find the largest possible value of CF.
1/12 + 1/12 > 1/A, solve for A
A > 6
CF ==7 - is the minimum. Because this is an isosceles triangle, there is no ceiling to the 3rd altitude.