+0  
 
0
55
1
avatar

Can someone please help me?

 

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

 

Thanks!

 May 30, 2020
 #1
avatar
0

Let h be the third altitude.  Then by the triangle inequality, h + 12 > 14, h + 14 > 12, and 12 + 14 > h.  The largest integer h that satisfies these inequalities is h = 25.

 May 30, 2020

8 Online Users

avatar
avatar
avatar