Why Haversine formula and Web Mercator give different length between two latlng point

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I am calculating the distance between two points given by latlng. However, Google Maps (i.e., web mercator projection) gives me a longer distance than Haversine formula.

Which is the most accurate measure? I can read in some answer that Haversine formula gives it.

So... Is Google Map lying when telling me distance in meters. e.g., in this webpage? http://www.maptiler.org/google-maps-coordinates-tile-bounds-projection/

Thank you very much!



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