comfort / consolation
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comfort
Encouragement and reassurance for someone who is sad, disappointed, or suffering, in order to ease their emotional pain.
Ihre Anwesenheit und ihre mitfühlenden Worte waren ein großer Trost für die Familie.
Her presence and her compassionate words were a great comfort to the family.
'Der Trost' (comfort/consolation) belongs to the word family of 'trösten' (to comfort someone) and 'trostlos' (without comfort, very sad). If you see a person who is sad, you can try to comfort them.
Er versuchte, das weinende Kind zu trösten.
He tried to comfort the crying child.
'Trost' is usually combined with two verbs: you can 'Trost spenden' (to give comfort) to someone, or 'Trost finden' (to find comfort) in a difficult situation.
Seine Worte spendeten ihr Trost in der schweren Zeit.
His words gave her comfort during the difficult time.
The expression 'ein schwacher Trost' (small consolation) is very common. It describes a small positive aspect in an otherwise bad situation, but one that does not really help.
Die Versicherung zahlt, aber das ist nur ein schwacher Trost für das abgebrannte Haus.
The insurance will pay, but that is only small consolation for the burned-down house.
relief
'Trost' and 'Erleichterung' can both make a difficult situation feel a little less hard. 'Trost' usually comes through words, closeness, or sympathy when someone is sad or suffering. 'Erleichterung' is more the feeling that pressure, fear, or a burden is easing. It can also come from practical help that makes something easier. Learners may confuse the words because both feel good. The difference is: 'Trost' helps with sadness, while 'Erleichterung' helps with tension or a difficult task.
Nach der schlechten Nachricht fand Maria Trost bei ihrer Schwester.
After the bad news, Maria found comfort in her sister.
Als der Arzt sagte, dass alles in Ordnung ist, war die Erleichterung groß.
When the doctor said that everything was fine, there was great relief.