Hexagons in Triangles

The following pictures show n unit hexagons packed inside the smallest known triangle (with side s).

1.
           2.-3.
           4.
s = 3
Trivial. 		s = 5
Trivial. 		s = 6
Trivial.

5.
           6.
           7.
s = 5(1+√3)/2 = 6.8301+
Found by Maurizio Morandi
in April 2015. 		s = 3(1+√13))/2 = 6.9083+
Found by Maurizio Morandi
in April 2015. 		s = 8
Trivial.
 

8.
           9.-10.
           11.
s = 25/3 = 8.3333+
Found by Erich Friedman
in April 2015. 		s = 5√3 = 8.6602+
Trivial.
  		s = 5(4+√3)/3 = 9.5534+
Found by Maurizio Morandi
in March 2026.

12.
s = 10
Trivial.