At the opening of the inquest into the death of Peaches Geldof, Detective Chief Inspector Paul Fotheringham, of the Kent and Essex Serious Crime Directorate, said a post-mortem examination was inconclusive, prompting further tests.
But he told the hearing: "Recent use of heroin and the levels identified were likely to have played a role in her death."
Her mother, TV presenter and writer Paula Yates, died from an accidental heroin overdose at her London home 14 years ago.
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The Westminster terror attack dominates the front pages of Thursday's newspapers.
A timeline of exactly what happened.