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The term equilateral means "having the same length or measure" as we apply it. There are a number of shapes that meet this criterion. The equilateral triangle, the square, the regular pentagram, the regular hexagram and on and on in the polygon shapes. Note that the term "regular" is applied. A "regular pentagon" is a pentagon with all sides having equal length. We usually don't say "an equilateral pentagon" in geometry, but us the term "regular pentagon" instead. It communicates the same information. That's it in a nutshell. Next time you hear the word pentagon or octagon, make sure you don't assume it to be a regular one (though it may very well be). Where data is lacking, ask a question or investigate. Either that or make allowances for the possibility that the polygon may be regular or may not be.
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