Do you get mad when you know you're right, but people don't believe you?

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Today I showed my mother the software Google Earth, and I wanted to show her where our relatives lived in Croatia. Both of us know the place pretty well, she used to live there and I spent my childhood there. Recently my uncle moved to his new home and my mother has been there a few times. I've been there last summer. I wanted to find where he lived by using Google Earth, which I did, but my mother was not convinced. She pointed to an entirely different direction, which I know is not the case. I kept explaining her over and over again and she nodded at times, more to please me, which just got me angrier, because I saw she was not convinced! I became frustrated. Finally she was convinced, but I became tired. What do you do when you know you're correct, but people just don't agree with you? What is the best thing to do? What's true is true, but is it worth proving? Or is it a waste of time and effort? What do you think?