With over 900 sq. miles and over 5,000,000 people, cook county has many courthouses spread around the county, but here are the two main county courthouse structures in downtown Chicago.
Here's the original city/county building that serves as the combined headquarters for both the city of chicago and cook county governments.
source:
http://dalje.com/slike/slike_3/r1/g2...056864446.jpg]
and here's the annex structure, the daley center, built in the 60s after the chicago/cook county bureaucracy outgrew the original building. This structure is where the courtrooms for the county are located today.
source:
http://www.23hq.com/5473655/5851253_...a027_large.jpg