If a person pushes a fat man into an on coming trolley and in doing so prevents

If a person pushes a fat man into an on coming trolley and in doing so prevents

Law

If a person pushes a fat man into an on coming trolley and in doing so prevents five people from being killing should that person be tried for murder? Is the law clear on whether this was murder? If it clear then wouldn't it be clear that switching tracks to avoid the death of five people but leading to the death of one person is also murder? Or does the law objectively determine that the "intent" in that instance is different than in the other instance?

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