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.
To find the largest possible value of CF, we need to consider the relationship between altitudes and sides of a triangle. By using the formula CF = 2 * area(ABC) / AB, the largest possible value of CF occurs when AB is minimized. Therefore, CF will be maximum when AB is minimized to its smallest possible value.