RHS- Right-angled Triangles only, 1 pair of congruent hypotenuse and 1 pair of congruent sides

Can different triangles be formed if the 90-degree, length of one side, and length of the hypotenuse are fixed?
– Cheryl Lee, Caroline Psutka

Information: RHS- Right-angled Triangles only, 1 pair of congruent hypotenuse and 1 pair of congruent sides