Not normally
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Equilateral and Equiangular triangle
equilateral triangle is an example of regular polygon
If by regular, you're referring to a regular polygon which has all sides equal length, and all angles equal, then an equilateral triangle is a regular triangle. If you draw a scalene triangle or an isosceles triangle then it will not be equilateral.
Regular polygon is equilateral and equiangular. Irregular polygon is non-equilateral and non-equiangular.
An equilateral polygon.