It will be SSS congruency. This is because it is given that E is the mid point of BU. This implies that BE =EU. Then it is also given that BL=LU. So, we have now proved 2 of three required statements. Now,LE =LE. It is common to both.
So, by SSS congruence they will be congruent. Hope this helps. Tried explaining the best I could:)
