None; because there is no justification for assuming that the two triangles (or trangles, as you prefer to call them) are similar.
Pythagorus did hints the name "Pythagoream Theorem."
The Pythagorean theorem gets its name from the ancient Greek mathematician Pythagoras. He was one of the first to offer proof of the theorem.
The theorem emulates the action of a hinge. As the angle of the hinge is increased the distance between the free edges increases.
Pythagoras
similar - AA
cannot be determined
None; because there is no justification for assuming that the two triangles (or trangles, as you prefer to call them) are similar.
SAS
not congruent
Congruent - SAS
congruent - asa
Congruent - SSS
Might not be congruent
not congruent
yes
APEX Congruent-SAS