Generally a parallelogram will be split into two scalene
triangles by a diagonal; depending upon which diagonal, they will
be acute or obtuse.
However, it is possible for the diagonal to be the same length
as one of the sides, in which case it will be split into two
isosceles triangles.
For the special case of the "regular" parallelogram (whereby
every side is equal in length, and it is otherwise known as a
Rhombus) it will generally be split into two isosceles triangles,
but the diagonal could be the same length as the sides and it will
be split into two equilateral triangles.