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escoscolipse
That is a mathematical impossibility. At least 2 angles have to be congruent in order for the shape to have 4 sides.
At least 2. (If all 3 sides are congruent it's equallateral, but can still be called isoceles)
An isosceles triangle has 2 equal sides whereas an equilateral triangle has 3 equal sides
Isosceles triangles have 2 congruent sides. Equilateral triangles have 3 congruent sides. However, all of this works only in euclidean geometry.