Theorize why the Byzantine Empire moved toward the feudal system of land and army service for protection

an agricultural laborer legally bound and sold with the land they worked on (unlike slaves who moved separate from land); sought refuge from vassals and kings for protection from invaders

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.