It is a triangle that has 2 equal sides in length
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I am not sure that this is standard terminology, but I might call the two equal sides legs and the other side the base.
any triangle is a triangle
acute angled triangle,right angled triangle,obtuse angled triangle,isosceles triangle,equilateral triangle, scalene triangle
equilateral triangle , isosceles triangle , scalene triangle
An equilateral triangle perhaps depending on your meaning of 'ON the triangle'