In this post, we are going to point out all the different types of triangles according to angles. In most cases, it is very easy to detect the type of triangle if we can see one, two, or all of its three angles. This classification is made as a result of the size of the angles of the triangle.
Types Of triangles According To Angles Size
There are three different types of triangles according to the size of their angles. See the list below:
- Acute triangle – is a triangle with all three angles acute (all three angles are less than 90 degrees).
- Right triangle – is a triangle that has one right angle (it is enough that only one angle has exactly 90 degrees, regardless of the size of the other two angles).
- Obtuse triangle – is a triangle that has one obtuse angle (only one angle is enough to have one angle that is greater than 90 degrees, regardless of the size of the other two angles).
In the text below you can see examples of each different kind of triangle according to the size of its angles!
Acute Triangle
In the picture below you can see what an acute triangle looks like.
As you can easily see, all three angles of this triangle have a size that is less than 90 degrees, that is, all three angles are acute. An example of an acute triangle is a triangle that has angles of 70, 60, and 50 degrees.
Right Triangle
In the image below you can see what a right triangle looks like.
You can see from the picture that the triangle has only one right angle of exactly 90 degrees, and the rest of its angles are sharp and less than 90 degrees. An example of a right triangle is a triangle that has angles of 90, 50, and 40 degrees.
Obtuse Triangle
In the image below you can see what an obtuse triangle looks like.
It is seen that the triangle has only one obtuse angle, and the rest of its angles are sharp, that is, they have a size smaller than 90 degrees. See what different types of angles there are! An example of an obtuse triangle is a triangle that has angles of 110, 40, and 30 degrees.
In mathematics, the right triangle is especially important. This triangle is used to reveal the secrets of geometry and trigonometry!
Self Test About Types Of Triangles According To Angles
Every reader is welcome to self-test and answer the question: Do I know how to distinguish different triangles according to the size of their angles? Check out the questions below!
What type of triangle is a triangle that has angles of the following size?
- a) 80, 60, 40
- b) 120, 30, 30
- c) 90, 45, 45
If you can answer the questions above easily, then you already know about different types of triangles according to angles! Good luck!
