 # Types of Triangles

Shapes are part of our daily life and it is important to understand each and every shape. The most common shape we see around is the triangle. Now, Triangle is the shape with three corners, but every three-cornered shape is not the same, and to understand this concept we are here to explain to you with different types of triangles.

### Suggested Videos        ## Triangle and Types of Triangles (Source: texample)

Triangle is a three-sided polygon. This closed figure consists of three lines that are linked at the endpoint to each other. The main properties of the triangle are that the sum of the interior angle of the triangle is 180° and the sum of the exterior angles is always 360°.

Now, triangles can be classified according to their sides and interior angles. The following are the details about each classification:

## Types of Triangles with Respect to Sides

### Equilateral Triangle

This type of triangle consists of three equal sides and equal angles. Every side of the triangle is of the same length and every angle is of the same measure of 60°. The following figure is an equilateral triangle – ### Isosceles triangle

The triangle with only two equal sides is known as the isosceles triangle. Not only two equal sides, but the isosceles triangle also consists of two equal angles. The following figure is of the isosceles triangle- ### Scalene Triangle

The triangle with no equal sides is the scalene triangle. Each line of this triangle is of different length. Following is the figure of the scalene triangle:

## Types of Triangles by Angles

### Right Triangle

This triangle consists of one right angle and two acute angles. The right angle is an angle that measures 90° and the acute angles are those angles that measure less than 90°. Thus, the Right triangle is a triangle with one angle of 90°, and the other two angles that measure less than 90°. The following figure shows the right triangle- ### Obtuse Triangle

This is a triangle with two acute angles and one obtuse angle. The obtuse angle is the angle that measures above 90°.

### Acute Triangle

An acute triangle is a triangle which consists of three acute angles. Therefore, this is the triangle which consists of three angles all of below 90°.

### Equiangular triangle

It is a triangle with equal angles. Therefore, each angle will be exactly 60°.

When we learn about the various types of triangles, we keep in mind the measurement of sides and angles. Therefore, the above classification will now make it easier for you to differentiate between triangles. Now, every triangle is not just a triangle for you.

## Solved Question for You

#### Question 1: An equilateral triangle can also be called an acute angle, why?

Answer: All the three sides and angles of an equilateral triangle are equal. Now, we know that the sum of angles in a triangle is 180°. Since all the three angles in an equilateral triangle are equal, we write it as:

∠A + ∠B +∠C = 180
Now, ∠A = ∠B = ∠C, hence the sum of three angles can be written as ∠A + ∠A + ∠A = 3 ∠A
3 ∠A = 180°
∠A = 180/3
= 60°
Since all the angles in the equilateral triangle are equal, Therefore we get, ∠A = ∠B = ∠C = 60°

#### Question 2: What are the types of triangles with respect to the angles?

Answer: When we look at the different types of triangles on the basis of angles, they are of 5 types. They are Right Triangle, Obtuse Triangle, Acute Triangle, and Equiangular Triangle.

#### Question 3: What is an Equilateral Triangle?

Answer: An equilateral triangle is a kind of triangle which comprises of 3 equal sides and equal angles. Moreover, each side of this triangle is of the same length and every angle is going to be of the same measure which is 60°.

#### Question 4: Give the definition of a triangle.

Answer: A triangle is a three-sided polygon which is a close figure consisting of 3 lines that link at the endpoint to each other. The major properties of a triangle are that they are the sum of the interior angle of the triangle is going to be 180°. Similarly, the sum of the exterior angles is always going to be 360°. Further, we can classify triangles on the basis of their sides and interior angles.

#### Question 5: Define an obtuse triangle.

Answer: An obtuse triangle is one having two acute angles and one obtuse angle. You must know that an acute angle is one that measures less than 90° while the obtuse angle one is one that measures over 90°.

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