Right Handed
noun, の adjective
The right side of your body is the side you profit most from. So, you use it a lot more. That's because you're right handed.
Both kanji use the kun'yomi vocab readings. So, think to the words 右 and 利く to learn how to read this one. It probably reads like this because it's two separate words come together (right + handed) rather than one word.
私の息子は右利きではありません。
My son is not right-handed.
左利きなのに、右利きのグローブを買っちゃったんだ。
Even though I'm left-handed, I accidentally bought a right-handed glove.
彼女のこと、すごく好きだったんだけど、右利きだって分かってからムリになっちゃったんだよね。どうしてかは分からないけど。
I really liked her, but things got awkward after I found out she's right-handed. I don't know why.