Why did Major George Washington and his troops surrender at Fort Necessity?

Washington, with no hope of reinforcement, signed the surrender (written in French) not realizing that it was also a confession to having "assassinated" Louis's half-brother at the Battle of Jumonville Glen; the two battles in the woods did much to solidify each side's commitment to war.

Explanation:

Washington, with no hope of reinforcement, signed the surrender not realizing that it was also a confession to having assassinated Louis's half-brother at the Battle of Jumonville Glen; the two battles in the woods did much to solidify each side's commitment to war.