Answer:
HL and SAS both work.
Explanation:
You can show that the bottom line is bisected by using the Pythagorean Theorem
On the left side, you have the hypotenuse squared - common perpendicular^2 = (1/2 base^2)
You have exactly the same thing on the right hand side.
1/2 base , Right Angle, Common Side = SAS For sure that works.
So does HL just by the two statements above and 1 right triangle in both triangles.