Equilateral Triangle Calculator

Equilateral Triangle Calculator is a free online tool that displays the area and perimeter of the equilateral triangle. BYJU’S online equilateral triangle calculator tool makes the calculation faster and it displays the area and perimeter in a fraction of seconds.

How to Use the Equilateral Triangle Calculator? 

The procedure to use the equilateral triangle calculator is as follows:

Step 1: Enter the side length in the input field

Step 2: Now click the button “Solve” to get the area, perimeter and semiperimeter

Step 3: Finally, the area and perimeter of the equilateral triangle will be displayed in the output field

What is Meant by Equilateral Triangle?

In Geometry, the triangle is a two-dimensional figure with three sides. Based on the sides and angles of the triangle, it can be classified into different types, such as the scalene triangle, isosceles triangle, equilateral triangle, acute triangle, obtuse triangle and right triangle. The area of the equilateral triangle is the region occupied by the equilateral triangle. The perimeter of the equilateral triangle is the sum of its three sides. The formula to calculate the area and the perimeter of the equilateral triangle is given as follows:

If “a” is the side of the equilateral triangle, then

Area = (√3/4)a² square units

Perimeter = 3a units

Semiperimeter = 3a/2 units

Solved Examples on Equilateral Triangle

Example 1: 

Calculate the area of the equilateral triangle whose side is 4cm

Solution:

Given that, the side length “a” is 4 cm

We know that the area of the equilateral triangle is (√3/4)a²Â 

Now, substitute the value a = 4 in the formula

A = (√3/4)4²

A = √3 (4)

A = 1.732 (4)

A = 6.928 cm²

Hence, the area of the equilateral triangle is 6.928 cm2.

Also, check: Area of an Equilateral Triangle

Example 2:

Evaluate the perimeter of the equilateral triangle given that side length is 3 cm

Solution:

Side Length, a  = 3 cm

The formula to calculate the perimeter of the equilateral triangle is 3a units

Now, substitute a = 3 in the formula, we get

Perimeter = 3 (3)

Perimeter = 9 cm

Therefore, the perimeter of the equilateral triangle is 9 cm.