Yes.
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only equilateral triangles the other three, scalene isosceles and right angled, do not
Only if they contain a 90 degree angle
Any triangle can have a maximum of one right angle. Most right triangles are scalene triangles. The only non-scalene right triangle is a 45° - 45° - 90° isosceles right triangle. It is not possible to have an equilateral right triangle in plane geometry. A scalene triangle does not have to have a right angle, but it can have one.
They can be. There are 4 types of triangles: scalene, equilateral, right, and isosceles. A triangle can only be isosceles under the circumstance that it has at least 2 equal sides.
A scalene triangle has three unequal sides, an equilateral triangle has three equal sides. An isosceles triangle has two equal sides. Because with a scalene triangle only two sides are equal but with a equilateral triangle that would mean all sides are equal. (scalene = 2 sides & equilateral = all sides equal)