All triangles will be having three sides and three angles but they will still come into different kinds of sizes and shapes. Triangles can be perfectly categorised depending upon different kinds of properties and understanding all these kinds of properties is very much important for the kids so that they can differentiate between different types of triangles.

 

The comprehensive classification of the triangles has been perfectly explained as follows:

 

 Depending upon the length of the side:

 

  • In this particular case, the first category will be the equilateral triangle which is considered to be the triangle that will be having all three sides of the same length
  • The second category is the Isosceles triangle which will be the triangle in which two sides of the triangle will be equal or congruent.
  • The third one will be the case of the scalene triangle in which all the sides of the triangle will not be equal but will be different.

 

 Depending upon the angles:

 

  • In this particular area, the first category will be the acute triangle in which the measure of the angle will be less than 90°.
  • The second category will be the right triangle in which the measure of one of the angles will be exactly 90°.
  • The third category is the obtuse triangle in which one of the angles of the triangle will be measuring greater than 90°.

 

 Depending upon the sides as well as angles:

 

  • The equilateral and equiangular triangle will be the one in which all sides in all angles of the triangle will be equal.
  • Isosceles right triangle will be the one in which two sides will be of equal length and one of the angles will be 90°. In this particular case, two sides and two acute angles will always be congruent.
  • Obtuse Isosceles triangle is the one in which two sides will be of equal length and one angle will be obtuse.
  • The acute Isosceles triangle will be the one in which all three angles of the triangle will be acute and two sides will be measuring the same.
  • The right scalene triangle will be the one in which one angle will be measured as a right angle but all the sides of the triangle will be equal in terms of length.
  • An obtuse scalene triangle is the one in which sides will be of different length but one of the angles will be greater than 90°
  • Acute scalene triangle will be the one in which all the three angles will be acute but the sides will also be having different measures.

 

Following are some of the very basic points which the people should note down about the types of triangles:

 

  • In the cases of an equilateral triangle each of them will be having an internal angle of 60°
  • The internal angles of the triangle can be supplementary and should always add up to 180° up to maximum.
  • All the triangles will be having two acute angles
  • When all sides and angles of the triangle will be equal it will be known as an equilateral or equiangular triangle.

 

Hence, being clear about all the above-mentioned categorisation is very much important for the kids so that there is no query in the minds of kids at the time of solving the questions. It is very vital for the people to have a clear-cut idea about different types of triangles because of their different properties possessed by them and further kids also need to be clear about Pascals triangle so that they can solve the questions very easily. Apart from this whenever the kids are interested to have a good command over the whole area of mathematics then depending upon platforms like Cuemath is the best way of ensuring that everything will be undertaken most professionally and there will be no issue at any point of time especially while solving the questions.