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Area of Equilateral Triangle Formula

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The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane. Check FAQs

A = \frac{\sqrt{3}}{4} \cdot {l e}^{2}

A - Area of Equilateral Triangle?l_e - Edge Length of Equilateral Triangle?

Area of Equilateral Triangle Example

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Here is how the Area of Equilateral Triangle equation looks like with Values.

Here is how the Area of Equilateral Triangle equation looks like with Units.

Here is how the Area of Equilateral Triangle equation looks like.

27.7128 = \frac{\sqrt{3}}{4} \cdot 8^{2}

27.7128m² = \frac{\sqrt{3}}{4} \cdot {8m}^{2}

27.7128 = \frac{\sqrt{3}}{4} \cdot 8^{2}

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Area of Equilateral Triangle Solution

Follow our step by step solution on how to calculate Area of Equilateral Triangle?

FIRST Step Consider the formula

A = \frac{\sqrt{3}}{4} \cdot {l e}^{2}

Next Step Substitute values of Variables

∴

A = \frac{\sqrt{3}}{4} \cdot {8m}^{2}

Next Step Prepare to Evaluate

∴

A = \frac{\sqrt{3}}{4} \cdot 8^{2}

Next Step Evaluate

∴

A = 27.712812921102m²

LAST Step Rounding Answer

∴

A = 27.7128m²

Area of Equilateral Triangle Formula Elements

Variables

Functions

Area of Equilateral Triangle

The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Equilateral Triangle

Edge Length of Equilateral Triangle

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.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Equilateral Triangle

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.

Syntax: sqrt(Number)

Other formulas in Area of Equilateral Triangle category

Go Circumradius of Equilateral Triangle

r c = \frac{l e}{\sqrt{3}}

Go Exradius of Equilateral Triangle

r e = \frac{\sqrt{3}}{2} \cdot l e

Go Height of Equilateral Triangle

h = \frac{\sqrt{3}}{2} \cdot l e

Go Inradius of Equilateral Triangle

r i = \frac{l e}{2 \cdot \sqrt{3}}

How to Evaluate Area of Equilateral Triangle?

Area of Equilateral Triangle evaluator uses Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2 to evaluate 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 evaluate Area of Equilateral Triangle using this online evaluator? To use this online evaluator for Area of Equilateral Triangle, enter Edge Length of Equilateral Triangle (l_e) and hit the calculate button.

FAQs on Area of Equilateral Triangle

What is the formula to find Area of Equilateral Triangle?

The formula of Area of Equilateral Triangle is expressed as Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2. Here is an example- 27.71281 = sqrt(3)/4*8^2.

How to calculate Area of Equilateral Triangle?

With Edge Length of Equilateral Triangle (l_e) we can find Area of Equilateral Triangle using the formula - Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2. This formula also uses Square Root (sqrt) function(s).

Can the Area of Equilateral Triangle be negative?

No, the Area of Equilateral Triangle, measured in Area cannot be negative.

Which unit is used to measure Area of Equilateral Triangle?

Area of Equilateral Triangle is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Equilateral Triangle can be measured.

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