worth vs virtue

worth and virtue both are nouns.

Word	Noun	Adjective	Verb	Adverb
worth	Yes	Yes	No	No
virtue	Yes	No	No	No

As nouns, virtue is a hyponym of worth; that is, virtue is a word with a more specific, narrower meaning than worth:

Other hyponyms of worth include value, merit, demerit, fault, praisworthiness, worthwhileness, price.

worth (noun)	virtue (noun)
the quality that renders something desirable or valuable or useful	the quality of doing what is right and avoiding what is wrong
an indefinite quantity of something having a specified value	morality with respect to sexual relations
	any admirable quality or attribute
	a particular moral excellence

worth (adjective)	virtue (adjective)
having a specified value
(often used ironically) worthy of being treated in a particular way