exult vs triumph

exult is not a noun while triumph is a noun.

Word	Noun	Adjective	Verb	Adverb
exult	No	No	Yes	No
triumph	Yes	No	Yes	No

As verbs, exult and triumph are synonyms defined as:

Other synonyms of exult include exuberate, jubilate, rejoice.

As verbs, triumph is a hyponym of exult; that is, triumph is a word with a more specific, narrower meaning than exult:

Other hyponyms of exult include rejoice, wallow.

exult (noun)	triumph (noun)
	a successful ending of a struggle or contest
	the exultation of victory

exult (verb)	triumph (verb)
to express great joy	dwell on with satisfaction
feel extreme happiness or elation	to express great joy
	prove superior
	be ecstatic with joy