Ononot — In triangle ABC, the incircle touches sides BC, CA, and AB a

Euclidean 2Dhard

0:00.0

In triangle $ABC$ , the incircle touches sides $BC$ , $CA$ , and $AB$ at points $D$ , $E$ , and $F$ respectively. If $AB = 13$ , $BC = 14$ , and $CA = 15$ , find the length of $AE$ .