<Tri-2026-2373>, hint

Since DM, DN are angle bisector AD/BD(=CD)=AM/MB=AN/NC 

MN//BC. Hence EF//MN//BC//PR.

Since <MDN=90, MO=NO, OD=OM=ON, FN/FR=FO/FP=ON/PR (  ON=OD)

You can prove PR=AD

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