How do you classify triangles?

Hint: From the question we are asked to classify the two dimensional figures triangles. For solving the questions of these theoretical kinds we will use the basic knowledge and definitions in triangles. Generally triangles are classified by sides and their angles. We will explain each different kind of triangles in them.

Complete step by step answer:
In mathematics the triangles are two dimensional figures. Triangles can be classified by their sides and by their angles.
When classifying a triangle by its sides we will look into its length.
Triangles are of three types when we classify them by its sides. They are the Equilateral triangle, Isosceles triangle and Scalene triangle.
1. Equilateral triangle: it has all the three sides and all angles equal.
2. Isosceles triangle: it has two of its sides equal and two equal angles.
3. Scalene triangle: it has no equal sides and angles.
The figure would be as follows.

Triangles are of three types when we classify them by its angles. They are Obtuse angle triangle, Right angled triangle and Acute angled triangle.
1. Obtuse angle triangle: in a triangle whose one angle is obtuse or greater than \[{{90}^{\circ }}\].

2. Right angled triangle: a triangle whose one angle is \[{{90}^{\circ }}\] or right angled is called a right angled triangle.

3. Acute angled triangle: a triangle whose one angle is acute that is less than \[{{90}^{\circ }}\] is called an acute angle triangle.

Therefore, in this way we can classify triangles.

Note:
We must have knowledge in the concepts of triangles and its definitions. We must also know the different types of triangles and their properties. We should not be confused that if we write that all sides are equal for a scalene triangle then it will be a completely wrong solution.