Worth
Old English w(e)orth (adjective and noun), of Germanic origin; related to Dutch waard and German wert .
wiktionary
From Middle English worth, from Old English weorþ, from Proto-Germanic *werþaz(“worthy, valuable”); from Proto-Indo-European *wert-.
Cognate with Dutch waard(adjective), Low German weert(adjective), German wert, Wert, Swedish värd, Welsh gwerth.
From Middle English worthen, wurthen, werthen(“to be; exist; come into being; come into existence”), from Old English weorþan(“to come into being; be made; become; arise; be”), from Proto-West Germanic *werþan, from Proto-Germanic *werþaną(“to come about; happen; come into being; become”), from Proto-Indo-European *wert-(“to turn; turn out”).
Cognate with Dutch worden, Low German warrn, German werden, Old Norse verða (Norwegian verta, Swedish varda), Latin vertere.
etymonline
worth (adj.)
Old English weorþ "significant, valuable, of value; valued, appreciated, highly thought-of, deserving, meriting; honorable, noble, of high rank; suitable for, proper, fit, capable," from Proto-Germanic *wertha- "toward, opposite," hence "equivalent, worth" (source also of Old Frisian werth, Old Norse verðr, Dutch waard, Old High German werd, German wert, Gothic wairþs "worth, worthy"), which is of uncertain origin. Perhaps a derivative of PIE *wert- "to turn, wind," from root *wer- (2) "to turn, bend." Old Church Slavonic vredu, Lithuanian vertas "worth" are considered to be Germanic loan-words. From c. 1200 as "equivalent to, of the value of, valued at; having importance equal to; equal in power to."
worth (v.)
"to come to be," now chiefly, if not solely, in the archaic expression woe worth the day, present subjunctive of Old English weorðan "to become, be, to befall," from Proto-Germanic *werthan "to become" (source also of Old Saxon, Old Dutch werthan, Old Norse verða, Old Frisian wertha, Old High German werdan, German werden, Gothic wairþan "to become"), literally "to turn into," from PIE root *wer- (2) "to turn, bend."
worth (n.)
Old English weorþ "value, price, price paid; worth, worthiness, merit; equivalent value amount, monetary value," from worth (adj.). From c. 1200 as "excellence, nobility."
