The knower is the one who possesses knowledge; the known is the object or content known; cognition concerns the mind's apprehension of it.
Suppose a student understands a triangle:
Knower: the student.
Known: the concept of a triangle.
Cognition: the mental apprehension or acquisition of that meaning.
The external triangle, its concept, and the student have different roles. That helps explain why different definitions of knowledge foreground different aspects.