Parallel lines and triangles
As g moves along segment AB a and g are invariant
As f moves along segment DE a and f are invariant
Angle g=44.66
Angle f=67.6
Angle h=67.74
DE=2.95
DF=2.95
DE+DF=5.90
The perimeter of FHG=8.14
The area of FHG=3.2704
The sum of the angles FHG=180