if a triangle is acute, then the triangle is equilateral
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true
no. In fact a right angled triangle cannot be equilateral. An equilateral triangle is also equiangular: that is, all its angles are equal. The sum of all three angles of a [plane] triangle must be 180 degrees and so they cannot be 90 deg each.
No. But all isosceles triangles and equilateral triangles are.
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.
Yes. But not all isosceles triangles are equilateral.