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 > CF
CF < 1/6 - which means CF has minmum of 7
Because triangle ABC is an isosceles triangle, CF has no maximum value as long as the angle between the two equal sides can be measured. It only has a minmum of 7 and up as high as you want.