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When I was reading the definition of conflagration, I found that it was from the latin word, flagare. This word has the word flag in it, and it is cognate with the word flagrant. However, I saw the word flag in it and I don’t know why. Latin and Germanic may have gone through the same sound change (b and p change to f in Germanic and Latin respectively), and maybe they share the same PIE root. Or it’s accidental
This is a very fitting question for what’s happening in the WH.
Short answer, it's a coincidence. There are only so many ways to put sounds together; it's inevitable that some of them will show up multiple times across languages.
In fact, since languages have such an enormous number of words, it's almost certain that you can find pairs that look similar and have similar meanings! One example is German haben and Latin habēre, which both mean "have". But it is indeed a coincidence—the Latin cognate to haben is capere. The coincidence only seems striking since we're not looking at the thousands upon thousands of words that look nothing alike.
