How did the Battle of Trenton and the Battles of Saratoga help lead to an American victory?
Please answer the question in three to four sentences.
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The Battle of Saratoga was a turning point in the American Revolution. It gave the Patriots a major morale boost and persuaded the French, Spanish and Dutch to join their cause against a mutual rival.

Explanation:

The Battle of Saratoga, comprising two significant battles during September and October of 1777, was a crucial victory for the Patriots during the American Revolution and is considered the turning point of the Revolutionary War. The Battle was the impetus for France to enter the war against Britain, re-invigorating Washington's Continental Army and providing much needed supplies and support.

His surrender to American forces at the Battle of Saratoga marked a turning point in the Revolutionary War. The Battle of Saratoga was the turning point of the Revolutionary War. The scope of the victory is made clear by a few key facts: On October 17, 1777, 5,895 British and Hessian troops surrendered their arms.

the perimeter of a triangle is 69 cm. side a is 5 cm shorter than side b. side c is twice as long as side a. find the length of each side. i need to know how to do it in 2 equations.  

equations:

a = b-5

c = 2a

a + b + c = 69