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Equilateral triangles have only acute angles ti be equal to each other
Yes it is correct that the statement is false. All equilateral triangles are acute, because all three angles are less than a right angle (90°). There are an infinite number of cases of acute triangles which are not equilateral.
Triangles can be classified by their sides: equilateral, isosceles, scalene or by their angles: acute, right, obtuse. Combinations are possible.
Scalene, equilateral, and isosceles triangle when talking about the sides. Obtuse, acute, and right for angles
Triangles can be classified by their sides or their angles. When classifying them by their angles, triangles are called: acute triangles - all three angles are acute (less than 90º) right triangles - one right angle (90º) and two acute angles obtuse triangles - one obtuse angle (larger than 90º) and two acute angles