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Types of Triangle with respect to the Angles:

1) Equiangular triangle - all three angles equal to 60º.
2) Acute triangle - all angles are acute angles (<90º). 
3) Right triangle - one angle of the triangle is equal to 90º.
4) Obtuse triangle - one angle of the triangle is obtuse (>90º).

Types of Triangle with respect to the Sides:

1) Equilateral triangle - all sides are of equal length.
2) Isosceles triangle - two sides are of equal length.
3) Scalene triangle - no sides are of equal length.

See attached for illustrations.