Yes.
But not all isosceles triangles are equilateral.
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All equilateral triangles are acute triangles, since all the angles are less than 90 degrees.
False.
Triangles are equilateral triangles only when all of their 3 sides are equal in lengths.
No. But all isosceles triangles and equilateral triangles are.
No because all right triangles have 2 legs and a hypotenuse. The hypotenuse is always longer than either leg so right triangles can't be equilateral triangles.