Equilateral Triangle Formulas

What is an Equilateral Triangle?

An equilateral triangle is defined as a triangle that has three equal sides and three equal angles. Since the three sides of an equilateral triangle are equal, it is considered a regular polygon....

Equilateral Triangle Angles

We can also observe that the three interior angles of the ∆ABC measure 60°, i.e., ∠A = ∠B = ∠C = 60°.  This can be proved by using the angle sum property of a triangle....

Equilateral Triangle Formulas

Formula for Equilateral Triangles Each Interior Angle of Equilateral Triangle 60° Each Exterior Angle of Equilateral Triangle 120° Perimeter of Equilateral Triangle 3 × Sides Height of Equilateral Triangle √3/2 × (Side) Area of Equilateral Triangle √3/4 × (Side)2...

Shape of Equilateral Triangle

Shape of the equilateral triangle resembles a regular polygon with three sides. It is the simplest regular shape and is widely observed in our surroundings. Various examples of equilateral triangles in daily life includes:...

Properties of Equilateral Triangles

Some important characteristics of an equilateral triangle are,...

Equilateral Triangle Theorem

Equilateral triangle theorem states that,...

Equilateral Triangle Formulas

Now to measure various aspects of the equilateral triangle we use three common equilateral triangle formulas that are,...

Height of Equilateral Triangle

The height or altitude of an equilateral triangle is equal to √3a/2, where “a” is the side length of the triangle. It can be determined by using the Pythagorean formula. In the figure given below, ∆ABC is an equilateral triangle with equal sides that measures “a” unit. We can observe that a perpendicular is drawn from the vertex A to the opposite side BC, bisecting it into two halves at point D. ABD and ADC are two equal right angles. The length of AD is the height of the given triangle ∆ABC....

Perimeter of Equilateral Triangle

Perimeter of a triangle is equal to the sum of its three side lengths. We know that all three sides of an equilateral triangle are equal. So, the perimeter of an equilateral triangle is 3a, where “a” is the side length of the triangle....

Area of Equilateral Triangle

Total region bounded by the three sides of a triangle in a two-dimensional plane is known as the area of a triangle. The area of an equilateral triangle is √3/4 a2, where “a” is the side length of the triangle....

Centroid of Equilateral Triangle

Centroid of the triangle also called the centre of the triangle is a point which is at the centre of the triangle. This point is equidistant from all three vertices of the triangle. For an equilateral triangle, as all the sides are equal in length, it is easy to find the centroid for it....

Circumcenter of Equilateral Triangle

The centre of the circle passing through all three vertices of the triangle is called the circumcenter of the triangle. It is calculated by taking the intersection of any two perpendicular bisectors of the triangle....

Equilateral Triangle Symmetry

An equilateral triangle has two types of symmetry that includes,...

Difference Between Scalene, Isosceles, and Equilateral Triangles

Major differences between Scalene Triangle, Isosceles Triangle and Equilateral Triangle is added in the table below,...

Examples on Equilateral Triangle

Example 1: Determine the area of an equilateral triangle whose side length is 10 units....

Practice Questions on Equilateral Triangle

Some practice question on Equilateral Triangle are,...

Equilateral Triangle – FAQs

What is Equilateral Triangle?...