Prove that LM=LN

To prove: LM=LN
To prove triangles YML & YNL are congruent
YL=YL (Common)
Angle YML=Angle YNL (each 90 degrees)
Angle MYL=Angle NYL (YP bisector)
Triangles YML & YNL are congruent
AAS rule
So, LM=LN, proved