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In terms of sides:
1) Equilateral - all sides are equal
2)  Isosceles - two legs are equal
3)  Scalene - no sides are equal

In terms of interior angles:
1)  Equiangular - all angles are equal
2)  Right  - an angle is 90 degrees
3) Obtuse - an angle is more than 90 degrees
3)  Acute triangle - all angles are acute (less than 90 degrees) but not equal 

Any triangle may be both in terms of sides and angles:
- A triangle may be equilateral and equiangular.
- A triangle may be isosceles and right.
- A triangle may be isosceles and obtuse.