Types of Triangles: Classification and Important Properties

  • Learning about the different types of shapes and their exemplary characteristics is what makes Mathematics a thrilling subject. To develop a firm grip on the subject, one needs to possess unbreakable grit and resilience. Mathematics can only be mastered through vigorous practice. Practice is the key factor that decides your score in Mathematics. Even the mediocre students can outperform the smarter ones with practice. It is serious about paying heed to the various figures and the formulation related to every one of them. Triangle is the elementary figure in Mathematics. We have been reading about this figure for a long time. It is equally significant for both the smaller and higher classes. We are well aware of the properties of triangles and the different formulations related to them.


The concept of triangles is very important and should be known to every student. Not only is it important concerning the educational curriculum, but it also holds a very important position for knowledge. It is crucial to develop clarity on the topic of triangles. People often get confused regarding the different types of triangles because of the complex classification. Many Mathematics and research scholars have dedicated a lot of their time to give certain important postulates connected to triangles. Due to their extensive hard work, we know almost everything regarding triangles. However, more properties may be discovered in the future. Here, we will be discussing the different types of triangles.

Classification of triangles:

  • Based on angles: Triangles are categorized into three types on the criteria of angles: Acute, right-angled and obtuse. If the angle between the aspects or sides values is less than ninety degrees, it is an acute triangle. And if the angle between the aspects is more than ninety degrees, it is known as an obtuse triangle. If the angle between aspects is identical, it is defined as a right-angled triangle. A right-angled triangle is of different types. If any two respective angles formed between the aspects are identical, it is called an isosceles right-angled triangle. If all three angles have unique values, then it is defined as a scalene right-angled triangle.


  • Based on the length of sides: Triangles are also categorized based on the length of different aspects. If the length of all three aspects is equal, then the triangle is equilateral. If the length of any two aspects is equal, then it is called an isosceles triangle. And if the length of all three aspects is distinct, it is said to be a scalene triangle.


  • Pascals Triangle: This is a very beautiful mixture of Mathematics and computers. Pascals triangle represents a triangular array or pattern in which the sum of the corresponding elements is displayed in the next row. We can easily obtain the value of the respective binomial coefficient from Pascal’s Triangle. It is a very important pattern that is to be drawn using different programming languages. Pascal’s triangle very skilfully explains the complex binomial theorem. It is very important to closely observe this triangle as it is a renowned mathematics and computer programming topic.

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Here, we have successfully explained the different types of triangles and its properties. It is very crucial to understand every type as it proves beneficial in higher classes. The triangle is a very important and scoring topic  in different examinations. Therefore, it is very important to develop clarity on this topic. All students can seek assistance from Cuemath, a fantastic web platform that solves the doubts of many needy students. Even teachers refer to this platform to increase their knowledge and discover new ways of teaching. We hope this article proves vital in boosting your knowledge regarding triangles and imbibes your interest in this topic. We also believe that this solves all confusion regarding the types of triangles.