What makes you think it will fall on the house? The only way it would
do that is if it broke, which is doubtful, unless it's diseased.
Hickories are extremely deeply rooted, just try pulling a seedling out
of the ground once it has four leaves or so! You'll ruin the shape
completely if you cut it (or pollard it, I hate it when trees are
butchered that way).
Ann, Gardening in zone 6a
Just south of Boston, MA
Almost certainly better to remove the tree if it is a hazard than "...cut it
to half its height."
Have a professional consulting arborist (see ASCA
for a professional in your area. Good luck.
Mike LaMana, MS
Heartwood Consulting Services, LLC
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