nope, only right/equilateral triangles do.
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No.
Any triangle that has three equals sides must have three acute angles and is equilateral.
Any shape, other than a triangle can have a pair of perpendicular sides.
Any kind of triangle can have rational or irrational sides: acute angled, right angled or obtuse angled; equilateral, isosceles or scalene.
We'd need to know the number of sides. An equilateral triangle won't have any parallel or perpendicular sides. An equilateral quadrilateral will have two pairs of parallel sides which may or may not be perpendicular.