Check the kettle has not been overfilled, as it will spill water when boiling if this happens.
Also, check the kettle has not been dipped into water slightly when you were filling it, as this is quite common when a kitchen sink is used. Dry the base completely and place it back onto the base. If no further water is noted, this is likely to be the case.
To avoid leaks, ensure your kettle is descaled every 1 to 3 months.