Yes, It is correct to use 'the' as it suggests the importance of the time the body was found - ' definite article'
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XSIs the sentence correct if we leave the definite article out?,No.
XSHe was kidnapped on December,21st.His body was found next day.I'd say that was acceptable in BrE.
XSplease answerThere's no need for that. You have asked your question. That in itself suggests you would like an answer.