Area of an Equilateral Triangle Calculator
Solving different types of triangles need different formulas and measurements. No doubt, the operations are similar in every solution but the main problem is dealing with formulas. Don’t you remember the formulas to find the area of a specific triangle like an equilateral triangle? If you are unable to remember the formula, you should use this equilateral triangle calculator.
Using one measurement, it can easily show you different parameters related to an equilateral triangle including its perimeter and area. This maths calculator will help you in solving different problems related to this specific triangle type quickly. Read on to learn about this triangle in detail.
Table of Contents
What is an equilateral triangle?
triangle is also called a regular triangle because of its regular shape. This triangle is given the name of the equilateral triangle because it has all sides and angles of equal measure. It is a specific type of triangle that has the same lengths for all its sides. An equilateral
Every internal angle of this triangle is 60 degrees in measure. So, the sum of all angles in a triangle will be 180 degrees. The lines bisecting the angles of this triangle meet at the center of the triangle.
Area of an equilateral triangle
As we know, a triangle is a 2-dimensional figure that expands in the x and y axes. The area of an equilateral triangle is the region that it covers in these dimensions. Keep in mind the region that comes under its boundaries (all three sides) will be called its area, not its surroundings.
When we draw an equilateral triangle, a specific portion of the page will come under its boundaries. That portion is actually called its area in mathematics.
What is the area of an equilateral triangle formula?
Finding the area of an equilateral triangle is not a difficult task because of the same measures for all its sides. You only have to be proficient in basic mathematical operations and use the following formula.
Area of an equilateral triangle = a2√3/2 square units
In the formula, “a” represents the measure of the side of this triangle. The units of the area of an equilateral triangle will be squares of the units in which the measurements are given. For example, if you have a triangle with measurements given in “cm”, the units for the area will be “cm2”.
How to calculate the area of an equilateral triangle?
No doubt, you may have got an idea of how to find the area of an equilateral triangle by reading the above formula. But if you are still confused, you should check the following example. Here we have solved an example for your ease.
Example 1:
Find the area of an equilateral triangle if the measure of its side is 4 m.
Solution:
To find the area, we only have to put the values in the following formula.
Area of an equilateral triangle = a2√3/2 square units
From the question, we know that
a = 4 m
So,
Area of an equilateral triangle = (4)2√3/2 m2
By solving, we get:
= 6.93 m2
How to use the area of an equilateral triangle calculator?
Sometimes, you may have to solve multiple questions related to this triangle for your assignment in a short time. In this regard, the best solution is to use this online tool Calculator’s Bag. It will help you in getting answers for the area, height, and perimeter of the concerned equilateral triangle. Just follow these steps to use this calculator.
- Write the measurement of the side of an equilateral triangle
- This calculator will automatically show you all the above-mentioned values including the area of the triangle.
FAQ | Area of an Equilateral Triangle Calculator
How do you find the area of an equilateral triangle?
To find the area of an equilateral triangle, we only have to put the length of its side in the following formula:
Area of an equilateral triangle = a2√3/2 square units
What is the area of a 4 cm equilateral triangle?
If the length of a side of an equilateral triangle is 4 cm, its area will be 6.93 square cm.
Can equilateral triangles make a square?
Yes, an equilateral triangle can make a square if it is cut properly.
What shapes are equilateral?
All shapes with equal lengths for their sides will be called equilateral.
How do I find the height of an equilateral triangle?
You can find the height of an equilateral triangle using the following formula:
Area of an equilateral triangle = √3a/2
