Why study Euclid?
Euclid’s geometry shows you that you, personally, can know truth without taking anything on faith.
You don’t have to believe Euclid, you just have to walk the same road that Euclid and millions of others have walked, and see what’s there: truth that’s available to everyone, that doesn’t rely on faith, popular consensus, or opinion. The truth found in geometry is not an expression of power relations; it was constructed by people of many cultures but isn’t “socially constructed”. It is not moral, it does not demand obedience, it does not yield to hegemony, it does not submit to authority. You can only attain it by your own efforts, but you can still communicate it and share it with others.
Knowing this kind of truth, and knowing that you can know this kind of truth, is a power that can be gained no other way.