When used attributively, right hand is normally hyphenated: There's no sound coming out of the right-hand speaker. Chuck had a gun in his right hand.

Does right hand side need a hyphen?

If you stick to the Oxford Dictionary as reference, then the use of a hyphen simply follows the rule of attributive (before the noun) or predictive (after the noun) adjectives. That is to say: The right-hand side of the entrance. ... In this sense, I guess most of your usage would be with the hyphen.

Is right hand one word or two?

In both cases, right-hand describes something located toward the right, or in the direction of your right hand. A right-hand person, on the other hand, is someone you know you can depend on.