What does Lafayette mean when he says that American revolution drew me suddenly to my proper place?

Marquis de Lafayette was a French general who played an important part during the Revolutionary War. He helped the colonists against the British. He volunteered his time and money to help the Americans. He was able to help the Americans win the war and was treated as a hero.

Explanation:

answer: this problem has only trivial solutions, with all points on the same line. x=5 or x=7/5.

step-by-step explanation:

there are three triangles, and three unknowns: x, y=length of middle segment, and z=cos(angles marked with red arc).

we need

and law of cosines,

the three equations are

see attached image for solution.