Let D be a point on side BC of triangle ABC.

If the incircles of triangles ABD and ACD are congruent, then what is the length of the cevian AD in terms of a, b, and c ?

After googling congruent incircles, I discovered that the cevian AD is not necessarily perpendicular to BC, therefore my prior post is an incorrect solution.  

My trig and geometry are a bit rusty, thus I will need to oil by mental joints before posting another solution for this problem. 

Posted by Dej Mar on 2008-05-12 20:43:36