noun
Often used in the set phrase 血路を開く (to cut one's way out of an encirclement or desperate situation). The word itself is somewhat literary and not an everyday term for a physical exit.
包囲を破って血路を開いた。
They broke through the encirclement and opened an escape route.
彼は必死で血路を見いだそうとした。
He desperately tried to find a way out.