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Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon Formula

GoTriangular Edge Length of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoTriangular Edge Length of Truncated Rhombohedron Formula

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Triangular Edge Length of Truncated Rhombohedron is the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron. Check FAQs

l e(Triangle) = \sqrt{\frac{4 \cdot A Pentagon}{\sqrt{5 + 2 \cdot \sqrt{5}}} \cdot (5 - 2 \cdot \sqrt{5})}

l_e(Triangle) - Triangular Edge Length of Truncated Rhombohedron?A_Pentagon - Area of Pentagon of Truncated Rhombohedron?

Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon Example

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Here is how the Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon equation looks like with Values.

Here is how the Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon equation looks like with Units.

Here is how the Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon equation looks like.

19.0685 = \sqrt{\frac{4 \cdot 530}{\sqrt{5 + 2 \cdot \sqrt{5}}} \cdot (5 - 2 \cdot \sqrt{5})}

19.0685m = \sqrt{\frac{4 \cdot 530m²}{\sqrt{5 + 2 \cdot \sqrt{5}}} \cdot (5 - 2 \cdot \sqrt{5})}

19.0685 = \sqrt{\frac{4 \cdot 530}{\sqrt{5 + 2 \cdot \sqrt{5}}} \cdot (5 - 2 \cdot \sqrt{5})}

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Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon Solution

Follow our step by step solution on how to calculate Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon?

FIRST Step Consider the formula

l e(Triangle) = \sqrt{\frac{4 \cdot A Pentagon}{\sqrt{5 + 2 \cdot \sqrt{5}}} \cdot (5 - 2 \cdot \sqrt{5})}

Next Step Substitute values of Variables

∴

l e(Triangle) = \sqrt{\frac{4 \cdot 530m²}{\sqrt{5 + 2 \cdot \sqrt{5}}} \cdot (5 - 2 \cdot \sqrt{5})}

Next Step Prepare to Evaluate

∴

l e(Triangle) = \sqrt{\frac{4 \cdot 530}{\sqrt{5 + 2 \cdot \sqrt{5}}} \cdot (5 - 2 \cdot \sqrt{5})}

Next Step Evaluate

∴

l e(Triangle) = 19.0685201661292m

LAST Step Rounding Answer

∴

l e(Triangle) = 19.0685m

Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon Formula Elements

Variables

Functions

Triangular Edge Length of Truncated Rhombohedron

Triangular Edge Length of Truncated Rhombohedron is the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron.

Symbol: l_e(Triangle)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Triangular Edge Length of Truncated Rhombohedron

Area of Pentagon of Truncated Rhombohedron

Area of Pentagon of Truncated Rhombohedron is the total quantity of two dimensional space enclosed on any pentagonal face of the Truncated Rhombohedron.

Symbol: A_Pentagon

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Pentagon of Truncated Rhombohedron

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 Triangular Edge Length of Truncated Rhombohedron

Go Triangular Edge Length of Truncated Rhombohedron given Rhombohedral Edge Length

l e(Triangle) = l e(Rhombohedron) \cdot (\sqrt{5 - (2 \cdot \sqrt{5})})

Go Triangular Edge Length of Truncated Rhombohedron

l e(Triangle) = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\frac{2 \cdot l e}{3 - \sqrt{5}})

Go Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius

l e(Triangle) = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\frac{4 \cdot r c}{\sqrt{14 - (2 \cdot \sqrt{5})}})

Go Triangular Edge Length of Truncated Rhombohedron given Total Surface Area

l e(Triangle) = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\sqrt{\frac{2 \cdot TSA}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

How to Evaluate Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon?

Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon evaluator uses Triangular Edge Length of Truncated Rhombohedron = sqrt((4*Area of Pentagon of Truncated Rhombohedron)/(sqrt(5+2*sqrt(5)))*(5-2*sqrt(5))) to evaluate the Triangular Edge Length of Truncated Rhombohedron, Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon formula is defined as the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron, calculated using its area of pentagon. Triangular Edge Length of Truncated Rhombohedron is denoted by l_e(Triangle) symbol.

How to evaluate Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon using this online evaluator? To use this online evaluator for Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon, enter Area of Pentagon of Truncated Rhombohedron (A_Pentagon) and hit the calculate button.

FAQs on Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon

What is the formula to find Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon?

The formula of Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon is expressed as Triangular Edge Length of Truncated Rhombohedron = sqrt((4*Area of Pentagon of Truncated Rhombohedron)/(sqrt(5+2*sqrt(5)))*(5-2*sqrt(5))). Here is an example- 19.06852 = sqrt((4*530)/(sqrt(5+2*sqrt(5)))*(5-2*sqrt(5))).

How to calculate Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon?

With Area of Pentagon of Truncated Rhombohedron (A_Pentagon) we can find Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon using the formula - Triangular Edge Length of Truncated Rhombohedron = sqrt((4*Area of Pentagon of Truncated Rhombohedron)/(sqrt(5+2*sqrt(5)))*(5-2*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Triangular Edge Length of Truncated Rhombohedron?

Here are the different ways to Calculate Triangular Edge Length of Truncated Rhombohedron-

Triangular Edge Length of Truncated Rhombohedron=Rhombohedral Edge Length of Truncated Rhombohedron*(sqrt(5-(2*sqrt(5))))
Triangular Edge Length of Truncated Rhombohedron=(sqrt(5-(2*sqrt(5))))*((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))
Triangular Edge Length of Truncated Rhombohedron=(sqrt(5-(2*sqrt(5))))*((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))

Can the Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon be negative?

No, the Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon, measured in Length cannot be negative.

Which unit is used to measure Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon?

Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon can be measured.

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