Ttykuu

I recently played a game with my friend I wish I had memorized the entire game, but, unfortunately, my memory isn’t too good.

In summary, I was in a really tight position, and playing as black. I had a very active rook on the open f-file However my opponent was attacking my king. and it looked really bad. As a result, I sacrificed my very active rook for a bishop and a knight. I still lost the game, however.

Is that kind of exchange worth it? Once I lost my rook, my opponent was able to monopolize on the f-file by making a triple battery, and consequently I lost.

Also, when is it a good idea to make sacrifices concerning Rooks and minor pieces?

You say your opponent had a strong attack against your king and you had to "sacrifice" your rook for two minor pieces and went on to lose. I think you have it the wrong way round. It sounds like your opponent had a strong attack against your king and sacrificed two minor pieces for your rook, your one active piece by the sound of it.

In general a rook and a pawn are roughly equivalent to two minor pieces. However in the middlegame this is usually not a good trade for the player losing the two minor pieces because two minor pieces are two pieces which can attack/defend whereas one rook is only one piece which can attack/defend and the number of pieces participating in the attack or defence is generally more significant than their precise power.

Your experience doesn't speak too much to the general question. Your opponent apparently was more skilled than you, which means several things. First, they probably would have won if you hadn't traded. Second, part of dominating a game is making it so that all of the options available to their opponent are bad; thus, it's likely that they deliberately created a situation where the trade was good for them. Third, if they're a good player, then there's lots of times that they don't make the trade because it's not good. The fact that it worked out for them doesn't mean that the trade in general is good, it just means that it was good in this situation, so there's a selection bias, in that good players select the trade that's good in that particular situation.

The value of a piece lies not just in what piece it is, but where it fits into the game as a whole. If you spent a lot of resources developing your rook, leaving your other pieces undeveloped, then trading minor pieces for your one active piece could very well be a good trade.