boast vs triumph

boast and triumph both are nouns.

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

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

Other hyponyms of boast include puff, crow, gloat.

boast (noun)	triumph (noun)
speaking of yourself in superlatives	a successful ending of a struggle or contest
	the exultation of victory

boast (verb)	triumph (verb)
show off	dwell on with satisfaction
wear or display in an ostentatious or proud manner	to express great joy
	prove superior
	be ecstatic with joy