14 Different Types of Triangles: Equilateral, Isosceles, Scalene, and More

Triangles have three sides and three angles in common, although they can be any size or form. Triangles may be classified by various qualities depending on their angles and sides, and knowing these features helps you apply the concepts to a variety of real-world situations. Because of its stiffness and sturdy form, the triangle is one of the strongest shapes and is utilized in building.

History Of Triangle

Types of Triangles

Because Blaise Pascal is credited with inventing the triangle in the 16th century, it is commonly referred to as “Pascal’s triangle.” On the other hand, History indicates that numerous other mathematicians were aware of it long before Pascal was born. Omar Khayyam, a Persian mathematician, and Chia Hsien, a Chinese mathematician, developed the triangle thousands of years ago.

The triangle is also referenced in a Saint Emmeram document from the 10th century that is well preserved at the Monaco library. Pascal, a French mathematician, is credited with inventing a variety of triangle forms, characteristics, and uses. As previously said, we will now cover the fundamental forms of triangles.

Different Types of Triangles

Here is the latest list of all types of triangles that you should know about.

1. Equilateral Triangle

Equilateral
When all three sides of a triangle are the same length, it is called an equilateral triangle.

2. Isosceles Triangle

Isosceles Triangle
An isosceles triangle is formed when the two sides of a triangle are equal or congruent.

3. Scalene Triangle

Scalene Triangle
A scalene triangle is one in which none of the triangle’s sides are equal.

4. Acute Triangle

An acute-angled triangle or acute triangle is one in which all of the angles of a triangle are acute and measure fewer than 90 degrees.

5. Right Triangle

A right-angled triangle or right triangle is one in which one of the triangle’s angles is 90 degrees.

6. Obtuse Triangle

An obtuse-angled triangle, also known as an obtuse triangle, is formed when one of the triangle’s angles is larger than 90 degrees.

7. Equilateral Or Equiangular Triangle

A triangle is called equilateral or equiangular when all of its sides and angles are equal.

Right Triangle Isosceles An isosceles right triangle has two sides that are equal and one angle that is 90 degrees. Two sides and two acute angles are equivalent in an isosceles right triangle.

8. Obtuse Isosceles Triangle

An obtuse isosceles triangle is defined as a triangle with two equal sides and one obtuse angle.

9. Acute Isosceles Triangle

An acute isosceles triangle is one with all three angles being acute and two sides being the same length.

10. Right Scalene Triangle

A right scalene triangle is one in which one of the angles is a right angle and all three sides are unequal.

11. Scalene Triangle, Obtuse

An obtuse scalene triangle is a triangle having an obtuse angle and sides of various lengths.

12. Acute Scalene Triangle

An acute scalene triangle is a triangle with three unequal sides and all three sharp angles.

13. Acute Equilateral Triangle

Acute Equilateral Triangle
We can call a triangle acute equilateral triangle if it has three equal sides and only acute angles.

14. Right Isosceles Triangle

We call a triangle that has one right angle and two equal sides a right isosceles triangle.

Frequently Asked Questions (FAQs)

In Geometry, How Many Different Types Of Triangles Are There?

In geometry, there are six different forms of triangles. There were three varieties at first, based on their sides. But these three sorts of triangles weren’t enough for the geometry specialists. As a result, they decided to categorise triangles depending on the types of angles within the triangle. As a result, there are three different sorts of triangles based on their angles. In geometry, there are six different forms of triangles.

What Are The Different Triangle Types Based On Angles?

Triangles
Triangles are divided into three categories based on their angles: acute triangles, right triangles, and obtuse triangles.

What Are The Different Types Of Triangles Based On The Number Of Sides?

Triangles are divided into three categories based on their sides: equilateral triangles, isosceles triangles, and scalene triangles.

Which Triangle Types Have Three Lines Of Symmetry?

Because three lines of symmetry may travel through the vertex of this triangle, all equilateral triangles contain three lines of symmetry.

Reflection Symmetry Is Seen In Which Types Of Triangles.

Reflection symmetry exists in all equilateral and isosceles triangles.

Is An Obtuse Equilateral Triangle Even Possible?

No, this isn’t feasible. At the same time, a triangle cannot be both obtuse and equilateral. Because all three angles of an equilateral triangle measure 60 degrees, it cannot have an obtuse angle.

Is There Such a Thing As a Right Equilateral Triangle?

When the triangle is a right triangle, one of the three angles is 90 degrees. After then, the total of the other two angles must equal 90 degrees. This eliminates the possibility of all three angles being equal.

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