Area of Equilateral Triangle Calculator

✖The Edge Length of Equilateral Triangle is the length of one of the sides of the Equilateral Triangle. In an Equilateral Triangle, all three sides are equal.ⓘ Edge Length of Equilateral Triangle [l_e]

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✖The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane.ⓘ Area of Equilateral Triangle [A]

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Formula

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Area of Equilateral Triangle

Formula

`"A" = sqrt(3)/4*"l"_{"e"}^2`

Example

`"27.71281m²"=sqrt(3)/4*("8m")^2`

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Area of Equilateral Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2
A = sqrt(3)/4*l_e^2
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Area of Equilateral Triangle - (Measured in Square Meter) - The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane.
Edge Length of Equilateral Triangle - (Measured in Meter) - The Edge Length of Equilateral Triangle is the length of one of the sides of the Equilateral Triangle. In an Equilateral Triangle, all three sides are equal.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Equilateral Triangle: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = sqrt(3)/4*l_e^2 --> sqrt(3)/4*8^2

Evaluating ... ...

A = 27.712812921102

STEP 3: Convert Result to Output's Unit

27.712812921102 Square Meter --> No Conversion Required

FINAL ANSWER

27.712812921102 ≈ 27.71281 Square Meter <-- Area of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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Bhilai Institute of Technology (BIT), Raipur

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< 9 Area of Equilateral Triangle Calculators

Area of Equilateral Triangle given Length of Angle Bisector

Go Area of Equilateral Triangle = (Length of Angle Bisector of Equilateral Triangle^2)/(sqrt(3))

Area of Equilateral Triangle given Semiperimeter

Go Area of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)^2/(12*sqrt(3))

Area of Equilateral Triangle given Circumradius

Go Area of Equilateral Triangle = (3*sqrt(3))/4*Circumradius of Equilateral Triangle^2

Area of Equilateral Triangle given Perimeter

Go Area of Equilateral Triangle = Perimeter of Equilateral Triangle^2/(12*sqrt(3))

Area of Equilateral Triangle

Go Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2

Area of Equilateral Triangle given Exradius

Go Area of Equilateral Triangle = (Exradius of Equilateral Triangle^2)/(sqrt(3))

Area of Equilateral Triangle given Inradius

Go Area of Equilateral Triangle = 3*sqrt(3)*Inradius of Equilateral Triangle^2

Area of Equilateral Triangle given Height

Go Area of Equilateral Triangle = (Height of Equilateral Triangle^2)/(sqrt(3))

Area of Equilateral Triangle given Median

Go Area of Equilateral Triangle = (Median of Equilateral Triangle^2)/(sqrt(3))

< 13 Important Formulas of Equilateral Triangle Calculators

Length of Angle Bisector of Equilateral Triangle

Go Length of Angle Bisector of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle

Semiperimeter of Equilateral Triangle given Circumradius

Go Semiperimeter of Equilateral Triangle = (3*sqrt(3))/2*Circumradius of Equilateral Triangle

Edge Length of Equilateral Triangle given Circumradius

Go Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle

Circumradius of Equilateral Triangle

Go Circumradius of Equilateral Triangle = Edge Length of Equilateral Triangle/sqrt(3)

Inradius of Equilateral Triangle

Go Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3))

Edge Length of Equilateral Triangle given Height

Go Edge Length of Equilateral Triangle = (2*Height of Equilateral Triangle)/sqrt(3)

Exradius of Equilateral Triangle

Go Exradius of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle

Median of Equilateral Triangle

Go Median of Equilateral Triangle = (sqrt(3)*Edge Length of Equilateral Triangle)/2

Height of Equilateral Triangle

Go Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle

Area of Equilateral Triangle

Go Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2

Semiperimeter of Equilateral Triangle

Go Semiperimeter of Equilateral Triangle = (3*Edge Length of Equilateral Triangle)/2

Perimeter of Equilateral Triangle

Go Perimeter of Equilateral Triangle = 3*Edge Length of Equilateral Triangle

Height of Equilateral Triangle given Inradius

Go Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle

Area of Equilateral Triangle Formula

Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2
A = sqrt(3)/4*l_e^2

What is Equilateral Triangle?

In geometry, an Equilateral Triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

What is area of an Equilateral Triangle and how it is calculated ?

The area of a Triangle is defined as the total region that is enclosed by the three sides of an equilateral triangle. In an equilateral triangle, all three sides are equal in length. Its area is calculated by the formula A = √3a^2 /4 where A is the area of an equilateral triangle and a is the side of an equilateral triangle.

How to Calculate Area of Equilateral Triangle?

Area of Equilateral Triangle calculator uses Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2 to calculate the Area of Equilateral Triangle, Area of Equilateral Triangle is defined as the total region that is enclosed by the three sides of an equilateral triangle. Area of Equilateral Triangle is denoted by A symbol.

How to calculate Area of Equilateral Triangle using this online calculator? To use this online calculator for Area of Equilateral Triangle, enter Edge Length of Equilateral Triangle (l_e) and hit the calculate button. Here is how the Area of Equilateral Triangle calculation can be explained with given input values -> 27.71281 = sqrt(3)/4*8^2.

FAQ

What is Area of Equilateral Triangle?

Area of Equilateral Triangle is defined as the total region that is enclosed by the three sides of an equilateral triangle and is represented as A = sqrt(3)/4*l_e^2 or Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2. The Edge Length of Equilateral Triangle is the length of one of the sides of the Equilateral Triangle. In an Equilateral Triangle, all three sides are equal.

How to calculate Area of Equilateral Triangle?

Area of Equilateral Triangle is defined as the total region that is enclosed by the three sides of an equilateral triangle is calculated using Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2. To calculate Area of Equilateral Triangle, you need Edge Length of Equilateral Triangle (l_e). With our tool, you need to enter the respective value for Edge Length of Equilateral Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area of Equilateral Triangle?

In this formula, Area of Equilateral Triangle uses Edge Length of Equilateral Triangle. We can use 8 other way(s) to calculate the same, which is/are as follows -

Area of Equilateral Triangle = (Height of Equilateral Triangle^2)/(sqrt(3))
Area of Equilateral Triangle = Perimeter of Equilateral Triangle^2/(12*sqrt(3))
Area of Equilateral Triangle = (3*sqrt(3))/4*Circumradius of Equilateral Triangle^2
Area of Equilateral Triangle = 3*sqrt(3)*Inradius of Equilateral Triangle^2
Area of Equilateral Triangle = (Exradius of Equilateral Triangle^2)/(sqrt(3))
Area of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)^2/(12*sqrt(3))
Area of Equilateral Triangle = (Median of Equilateral Triangle^2)/(sqrt(3))
Area of Equilateral Triangle = (Length of Angle Bisector of Equilateral Triangle^2)/(sqrt(3))

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