A Congruency of Triangles

Futility Closet reports succinctly on a recent geometric theorem from the ever-interesting Lee Sallows:

http://www.futilitycloset.com/2015/02/19/triplets/

Seems odd that this simple finding on triangles hasn't been reported previously elsewhere(???), but that's part of the beauty of mathematics, that such elementary conclusions can be sitting out there just waiting to be discovered.
Now, does this one have any particular applications...?