The F-117A Nighthawk uses a chute because it doesn't have any flaps.
From US Air Force Technology.....
" The elevons do not act as flaps to reduce the rate of descent for touchdown, so the landing speed of the F-117A is high, at about 180mph to 190mph, and a drag parachute is used."
I always wondered what flaps did. I thought the pilot controlled the rate of descent.
Aviate1138