I need help with altitudes
Triangle ABC has altitudes AD, BE, and CF. If AD = 12, BE = , and CF is a positive integer, then find the largest possible value of CF.
Answered yesterday.
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.
If the altitudes of the triangle are: AD=12 and BE=12, then that means the triangle ABC is an isosceles triangle.
1/12 + 1/12 > 1/CF, solve for CF
CF > 6
Which means the minimum altitude of CF = 7 and there is no ceiling for the largest possible value.
