Equilateral Triangle Calculator
An equilateral triangle is defined as a regular polygon with 3 equal sides and 3 equal angles.
What is Equilateral Triangle Calculator?
'Cuemath's Equilateral Triangle Calculator' is an online tool that helps to calculate the area and perimeter of an equilateral triangle for a given side. Cuemath's online Equilateral Triangle Calculator helps you to calculate the area and perimeter of an equilateral triangle within a few seconds.
How to Use Equilateral Triangle Calculator?
Please follow the steps below on how to use the calculator:
- Step 1: Choose a drop-down list to find the area and perimeter of an equilateral triangle.
- Step 1: Enter the length of the side in the input box.
- Step 2: Click on "Calculate" to find the area and perimeter of an equilateral triangle.
- Step 3: Click on "Reset" to clear the field and enter new values.
How to Find the Area and Perimeter of an Equilateral Triangle?
The area of an equilateral triangle is the area occupied by the boundary of a square. It is measured in square units. As all sides are equal in an equilateral triangle. The formula to calculate the area of an equilateral triangle is given by:
Area of an equilateral triangle \( = { \sqrt{3} \over 4} × (side)^2\)
The perimeter of an equilateral triangle is defined as the total length or distance of its boundary on all sides. As all sides are equal. The formula to calculate the perimeter of an equilateral triangle is:
The perimeter of an equilateral triangle = 3 × side
Solved Example:
Find the area and perimeter of an equilateral triangle whose side length is 3 units.
Solution:
Given: Length of side = 3 units
Area of an equilateral triangle \( = { \sqrt{3} \over 4} × (side)^2\)
= \({ \sqrt{3} \over 4} × (3)^2\)
= 3.9 square units.
Perimeter of an equilateral triangle = 3 × side
= 3 × 3
= 9 units
Similarly, you can use the calculator to find the area and perimeter of an equilateral triangle for:
- Side length = 5 units
- Side length = 13 units