[i-adj 〜い → 〜さ] [na-adj] + さ [sentence] + さ
さ turns an adjective into a noun for its degree, the way "-ness" or "-th" does in English. An い-adjective drops its い and takes さ; a な-adjective takes さ straight after the stem, with no な.
The result is an ordinary noun and takes が, を, の like any other. いい builds it from its other stem: the noun is よさ. しずか静か usually becomes しずけさ静けさ, from an older form of the word.
A few adjectives also take み. さ gives the degree, something you could measure or compare. み gives the quality as something you sense in a thing.
For a size, a weight or a speed, only さ works: ×大きみ → 大きさ.
These go beyond turning an adjective into a noun. Both are a separate, casual さ.
In casual speech, さ at the end of a sentence states something as obvious or not worth worrying about: "of course", "you know". It goes straight after a noun or a な-adjective, where だ would have been, and after the plain form of a verb or an い-adjective.
It sounds relaxed and offhand, and you hear it more from men than from women. Keep it out of anything you would say in です/ます.
After a word or a phrase in the middle of a sentence, さ holds the listener's attention, much like "like" or "you know" in casual English. あのさ is how you get someone's attention.