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Area of Equilateral Triangle given Semiperimeter Formula

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GoArea of Equilateral Triangle given Height 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{{(2 \cdot s)}^{2}}{12 \cdot \sqrt{3}}

A - Area of Equilateral Triangle?s - Semiperimeter of Equilateral Triangle?

Area of Equilateral Triangle given Semiperimeter Example

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

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

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

27.7128 = \frac{{(2 \cdot 12)}^{2}}{12 \cdot \sqrt{3}}

27.7128m² = \frac{{(2 \cdot 12m)}^{2}}{12 \cdot \sqrt{3}}

27.7128 = \frac{{(2 \cdot 12)}^{2}}{12 \cdot \sqrt{3}}

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Area of Equilateral Triangle given Semiperimeter Solution

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

FIRST Step Consider the formula

A = \frac{{(2 \cdot s)}^{2}}{12 \cdot \sqrt{3}}

Next Step Substitute values of Variables

∴

A = \frac{{(2 \cdot 12m)}^{2}}{12 \cdot \sqrt{3}}

Next Step Prepare to Evaluate

∴

A = \frac{{(2 \cdot 12)}^{2}}{12 \cdot \sqrt{3}}

Next Step Evaluate

∴

A = 27.712812921102m²

LAST Step Rounding Answer

∴

A = 27.7128m²

Area of Equilateral Triangle given Semiperimeter 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

Semiperimeter of Equilateral Triangle

The Semiperimeter of Equilateral triangle is half of the sum of the length of all sides of the triangle.

Symbol: s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Semiperimeter 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 to find Area of Equilateral Triangle

Go Area of Equilateral Triangle

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

Go Area of Equilateral Triangle given Height

A = \frac{h^{2}}{\sqrt{3}}

Go Area of Equilateral Triangle given Perimeter

A = \frac{P^{2}}{12 \cdot \sqrt{3}}

Go Area of Equilateral Triangle given Circumradius

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

How to Evaluate Area of Equilateral Triangle given Semiperimeter?

Area of Equilateral Triangle given Semiperimeter evaluator uses Area of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)^2/(12*sqrt(3)) to evaluate the Area of Equilateral Triangle, The Area of Equilateral Triangle given Semiperimeter formula is defined as the total region that is enclosed by the three sides of an equilateral triangle, calculated using the semiperimeter. Area of Equilateral Triangle is denoted by A symbol.

How to evaluate Area of Equilateral Triangle given Semiperimeter using this online evaluator? To use this online evaluator for Area of Equilateral Triangle given Semiperimeter, enter Semiperimeter of Equilateral Triangle (s) and hit the calculate button.

FAQs on Area of Equilateral Triangle given Semiperimeter

What is the formula to find Area of Equilateral Triangle given Semiperimeter?

The formula of Area of Equilateral Triangle given Semiperimeter is expressed as Area of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)^2/(12*sqrt(3)). Here is an example- 27.71281 = (2*12)^2/(12*sqrt(3)).

How to calculate Area of Equilateral Triangle given Semiperimeter?

With Semiperimeter of Equilateral Triangle (s) we can find Area of Equilateral Triangle given Semiperimeter using the formula - Area of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)^2/(12*sqrt(3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Area of Equilateral Triangle?

Here are the different ways to Calculate Area of Equilateral Triangle-

Area of Equilateral Triangle=sqrt(3)/4*Edge Length of Equilateral Triangle^2
Area of Equilateral Triangle=(Height of Equilateral Triangle^2)/(sqrt(3))
Area of Equilateral Triangle=Perimeter of Equilateral Triangle^2/(12*sqrt(3))

Can the Area of Equilateral Triangle given Semiperimeter be negative?

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

Which unit is used to measure Area of Equilateral Triangle given Semiperimeter?

Area of Equilateral Triangle given Semiperimeter 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 given Semiperimeter can be measured.

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