An isosceles triangle is a triangle with at least two equal sides. While there are no other names, an equilateral triangle has 3 equal sides so it is also an isosceles triangle

An Isosceles Triangle has two sides that are equal in length. * * * * * But, a triangle with no two sides equal (as per the question that was asked), the answer is a scalene triangle.

The scalene triangle has no equal sides, and, therefore, no equal angles. (A triangle with no equal sides cannot have any equal angles and vice versa.)