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.
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No. For it to be equilateral it can't be a right triangle.
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.
There are: Isoceles, Right, Scalene, and Equilateral.
they are all triangles
Yes. But not all isosceles triangles are equilateral.