Perimeter of an Equilateral Triangle Calculator: The Equilateral triangle perimeter calculator is a free online tool that supports students to calculate the perimeter of an equilateral triangle easily. By providing the length of the side metric value in the input field, you will get the Perimeter of an Equilateral Triangle following in a short span. This handy & free perimeter finding calculator will make your calculations much easier and faster.
From below, you will get the complete information like What is Perimeter of an Equilateral Triangle, Formula to find Equilateral triangle perimeter, and how to calculate it easily as well as how Perimeter of an Equilateral Triangle Calculator works?
Definition of Perimeter of an Equilateral Triangle
The perimeter of a triangle is the distance covered around the triangle and is calculated as the sum of all the three sides of it. If you take an Equilateral Triangle, then the perimeter is calculated by adding its three sides.
We all know that all the sides of an Equilateral Triangle are equal. Therefore, its perimeter will be 3 times its side, i.e. 3 × Side.
Perimeter of an Equilateral Triangle Formula
The equilateral triangle also called a regular triangle. If the triangle has all three sides equal then we call it as an equilateral or regular triangle, so the formula for the perimeter of an equilateral Triangle is:
| Perimeter (P) = 3 * a |
Where ‘a’ represents the side of a triangle.
Whereas the formula for Semi Perimeter of an Equilateral Triangle is s = 3a / 2.
Finding Perimeter of an Equilateral Triangle
Calculating the Perimeter of an Equilateral Triangle becomes easy if you have the required parameters ie., side of the triangle. We have tried giving a detailed stepwise explanation about How to find Perimeter of an Equilateral Triangle here. So, please have a glimpse at these steps and easily find out the perimeter of a regular triangle.
Let’s move to the steps to find the equilateral triangle perimeter:
- First and foremost, write down the given parameters like side, altitude, etc. of a triangle.
- If you know the length of any side of a triangle then use the formula for Perimeter of an equilateral triangle ie., P=3a, where a is side.
- Enter the side value into the formula and calculate the Perimeter of an equilateral triangle.
For better understanding, here we have given solved examples for finding the perimeter of an equilateral triangle.
Solved Example:
Question 1: Find the perimeter of an equilateral triangle whose side is 678 centimeters?
Solution:
Given length of the side = 678 cm
The formula for Perimeter of an Equilateral Triangle = 3 × side
Put the value of side in Perimeter Formula.
Perimeter =3 x 678 cm
Multiply 3 and 678 cm
Perimeter= 2034.0 cm
Therefore, Perimeter of an Equilateral Triangle when a side is 678 cm = 2034.0 cm.
Question 2: Find the perimeter of an equilateral triangle whose height is 12 cm?
Solution:
Given Height is 12 cm
The formula for Height of the equilateral triangle is H = √3/2 * a
So, √3/2 * a = 12
First, calculate the side of an equilateral triangle and then go for the perimeter.
a= 12 * 2/√3 = 13.86
Now, you have a side value take the formula for the perimeter of an equilateral triangle i.e,
P = 3a
P = 3 * 13.86
P = 41.6 cm
Therefore, the perimeter of an equilateral triangle when the height is 12 cm = 41.6 cm.
How to Use Perimeter of an Equilateral Triangle Calculator Online?
Using the handy tool like perimeter calculator can make your calculations very simple. You can find perimeter for any surface like an equilateral triangle by our tool. Excited to know How to use this free online Perimeter of an Equilateral Triangle Calculator? then just follow the below simple steps & keep a dot to your excitement.
Okay, let’s start
- First of all, enter the side value in the input filed and then select the unit metric with the help of the dropdown list.
- After choosing the metric, tap on the Perimeter button and wait for fraction of second.
- Now, you can view the output of the Perimeter of an equilateral triangle below the button with a detailed explanation.
That’s it! looks simple right? Then look no further, just give your required input and find the perimeter of an equilateral triangle easily and quickly.
FAQs on Equilateral Triangle Perimeter Calculator
1. What is meant by Perimeter of an equilateral triangle?
As we know sides of an equilateral are equal in length. So, the perimeter of an equilateral triangle is adding all its three sides i.e., a + a + a= 3a.
2. How do I calculate Perimeter of an equilateral triangle?
By entering the side value in the input filed of our Perimeter calculator then you can easily calculate the perimeter of an equilateral triangle.
3. Is it tough to find the equilateral triangle perimeter when the height is given?
No, it is simple to find the perimeter of the equilateral triangle when you have the value of altitude or height. Just apply the value in the formula of the height of the equilateral triangle and then find the side value. After that, consider the Perimeter of an equilateral triangle formula and get the output.
4. What is the formula for Height of the Equilateral Triangle?
The formula for Height of the equilateral triangle is H = √3/2 * a.
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