The Cheetah's fingernails are razor-sharp claws, capable of slicing through Remarkable-strength material.
Martial Arts E
The Legion of Doom
A wealthy young society girl possessed of an almost overwhelming inferiority complex, Priscilla Rich organized a charity benefit and became insanely jealous when more attention was paid to the guest of honor, Wonder Woman, than to herself. After a failed attempt at surreptitiously murdering Wonder Woman, Priscilla returned to her home to find her own evil persona, clad in a cheetah costume, confronting her in the mirror.
Explaining that "I am the real you -- the Cheetah -- a treacherous, relentless huntress," this evil persona took hypnotic control of Priscilla, commanding her to make a real Cheetah costume in her image. Then, Priscilla Rich, in the guise of the Cheetah, embarked upon a life of crime.
Several times over the next few years the Cheetah attempted to kill her arch-rival, Wonder Woman, but the Amazon Princess always defeated her, returning the captive Cheetah to the Amazon's special Reform Island, in hopes of finding a permanent cure for her schizophrenia.