Classification of Triangles
Triangles are the most fundamental shape in geometry. Based on the following two major factors, we can classify triangles:
- Interiors Angles
- Sides of Triangles
Let’s understand these different classifications in detail.
Types of Triangles based on angles
Based on the interior angles of a triangle, we can classify the triangle into three types:
- Acute Angled Triangle
- Right Angled Triangle
- Obtuse Angles Triangle
Let’s discuss these types in detail.
Acute Angled Triangle
An Acute angled Triangle is one where all the interior angles of the Triangle are less than 90°. For Instance, an Equilateral Triangle is an acute-angled triangle (all angles are less than 90°).
Right Angled Triangle
A Right Angled Triangle is one where one of the angles is always equal to 90°. Pythagoras’ Theorem applies to right-angled triangles. It says that the square of the hypotenuse (the longest side) equals the sum of the squares of the base and perpendicular.
Obtuse Angled Triangle
In an obtuse-angled triangle, one side measures more than 90°. Here, one of the three angles is greater than 90°, making the other two angles less than 90°.
Types of Triangles, Classifications, Practice Questions and FAQs
Triangles are super important shapes. It’s crucial to know the different types of triangles, which are classified based on their sides and angles.
Triangles show up in everyday life in various ways. They’re in traffic signals, the front and back views of pyramids, and even in the mysterious Bermuda Triangle. Triangles are important because they provide a stable base, making them useful in building foundations and trusses. Majorly, there are 6 types of triangles.
In this article, you will read in detail about the different types of triangles based on sides and based on angles.
Table of Content
- What is a Triangle?
- What are the Different Types of Triangles?
- Classification of Triangles
- Classification Based on the Sides and Angles of Triangle
- FAQs