What are the types of Triangle?

[Techa503]

What are the types of triangles? How they are differentiated ?

[RonPurewal]

this isn't a question with a clean-cut answer, because there are lots of different--and overlapping--criteria that can be used to classify triangles.

for example, one criterion is whether a triangle is "isosceles" (= at least 2 sides have the same length). another criterion is whether the triangle is a right triangle (= has a 90º angle in it).
if you think about these two criteria, you'll see the problem with the way your original question is phrased: there are triangles that are isosceles AND are right triangles (namely, the 45º-45º-90º triangles).
so you can't neatly distribute triangles according to both of these criteria, because some triangles belong in neither bucket, some in just one of the two, and some in both buckets.

[RonPurewal]

if you don't understand the explanation above, then think about this equally open-ended (and equally ambiguous) question:
"what are the kinds of people?"

...if someone asked you that, you would definitely ask for clarification: what "kinds" is (s)he talking about? races? occupations? personality types? somatotypes? medical profiles? passions and pursuits?
you see where i'm going with this.

[RonPurewal]

so, basically, you'll need to get more specific with your question.

it will be helpful if you think about the origin of your question.
i.e., there must be some concrete reason why you're asking this question. when did "triangle type" arise as an actual issue for you? what types of triangles were actually involved in this issue?