In triangle ABC, AB=13, AC=15, and BC=14. Let I be the incenter. The incircle of triangle ABC touches BC, AC, and AB at D,E,F, respectively. Find the length of BI.
https://latex.artofproblemsolving.com/f/9/b/f9b6f8510916b9a73ea7eec93f2ad55579f7f4e4.png
https://web2.0calc.com/questions/in-triangle-and-let-be-the-incenter-the-incircle
(again)