Answer:
The triangles are congruent as per AAS congruence.
Step-by-step explanation:
AAS congruence states that when two triangles are congruent when their two angles are equal and the side not contained between those angles is also equal.
Let us have a look at the given triangles [tex]\triangle TSU[/tex] and [tex]\triangle KLM.[/tex]
It is given that they are right angled triangles and following dimensions are also equal:
1. [tex]\angle T = \angle K = 90^\circ[/tex]
2. [tex]\angle M = \angle U[/tex]
3. The side not between the angles i.e. the hypotenuse SU = LM
So, the two triangles [tex]\triangle TSU[/tex] and [tex]\triangle KLM.[/tex] are congruent as per AAS congruence.
i.e. [tex]\triangle TSU[/tex] [tex]\cong[/tex] [tex]\triangle KLM.[/tex] as per AAS congruence.
