"Cutting the Gordian Knot" is one approach to problem-solving.
Proverbial basis: Alexander the Great and the chariot Gordium in Phrygia
Features:
(1) The presence of a challenging problem resistant to standard attempts at solution.
(2) Achieving one's goal by taking a bold and aggressive approach to the problem.
(3) The solution may be viewed as unconventional.
This is somewhat analogous to the proverb that Fortune favors the bold.