A balcony not cantilevered will likely have a ledger similar to a deck. Best practice is to space the ledger away from the sheathing to allow for drainage and to flash diligently to keep moisture from penetrating the house. The far end of the balcony could be supported by posts that bear on footings, but a more traditional aesthetic is achieved with metal rods, cables, or brackets. All three options can be as utilitarian or as decorative as you'd like, but they should be engineered for safety.
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