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112 five letter words start with HE, and the HEA shape carries more of the everyday words than any other.
R leads at about eighteen percent, then A and L at thirteen each, and I, M and N between eight and nine.
HEART, HEARD, HEAVY, HEADS and HEATH all run HEA, and four of those five are words you would meet in ordinary reading.
HELLO, HELPS, HENCE, HERBS and HEDGE cover the other branches and share nothing with the HEA family past the opening pair.
HEART is the strongest opener. It sits in the dominant shape and its R and T are the two commonest letters in the last two boxes.
If the A misses, HELPS covers the L branch and brings four fresh letters at once.
They differ in the last box alone and both are common, so a guess on either one settles the other immediately.
Yes, it shares HEA with the others but its V and Y appear nowhere else here, which makes it a useful late guess.
Its X is unique on this page, so if an X turns up anywhere the answer is almost certainly HELIX.