Rotating a Triangle

Geometry Level 5

Acute triangle $ABC$ has its vertices labeled in a clockwise manner. It is rotated $90^\circ$ counter-clockwise about $C$ to get $A’B’C$ . Let $D$ be the midpoint of $AB’$ . If $\lvert BA’ \rvert = 1202$ , what is $\lvert CD \rvert$ ?

Details and assumptions

$|XY|$ denotes the straight line distance from $X$ to $Y$ .
Due to the rotation in the question, I am explicitly denoting that we are measuring the straight line distances, as opposed to the arc length of the sector.