It means that in any situation or story, there are more than just two sides (like the common 'two sides to a story'). There's often a third perspective that might be overlooked, perhaps a neutral view or a view that combines elements of the other two.
It might be a misspelling. Usually, we say 'there are two sides to every story'. If it's 'extreme three sides to every story', it could imply that in addition to the common two opposing views in a story (like two people's different accounts), there is an extreme or unexpected third aspect that also needs to be considered, perhaps a hidden factor, a greater context, or a third party's perspective that changes the whole understanding.
Sure. Let's say there's a fight between two neighbors over a tree that is on the border of their properties. One neighbor says the tree is his and he wants to cut it down. The second neighbor says it's hers and she wants to keep it. The third side could be the view of the local community that values the tree for its beauty and environmental benefits.
Sure. In a business deal gone wrong. One side might think they were cheated. Another side might think they were just following normal business practices. And the third 'extreme' side could be the view of the employees who are now at risk of losing their jobs because of the deal. Their view might be extreme in the sense that they see the whole situation as a complete disaster for their lives, while the other two sides are more focused on financial or contractual matters.
It means that in any situation or event, there are typically three different perspectives. For example, in a conflict between two people, there's the side of person A, the side of person B, and then there's an objective or outside view that might consider factors neither of them initially thought about.
It implies that there are always two different perspectives or viewpoints in any situation. Just like in a dispute, one person may see it as right while the other may think it's wrong.
It usually means that for any story, there are three perspectives: the teller's, the listener's, and the objective truth that might be different from both.
Considering both sides gives us a more complete picture. Let's say there's a story about a new building project. The developers may see it as progress, but the local residents might be worried about noise and traffic. By looking at both, we can better understand the overall impact. Also, it promotes better relationships as everyone feels heard.