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Edge Length of Truncated Rhombohedron given Triangular Edge Length Formula

GoEdge Length of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoEdge Length of Truncated Rhombohedron given Circumsphere Radius Formula

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Edge Length of Truncated Rhombohedron is the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron. Check FAQs

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

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

Edge Length of Truncated Rhombohedron given Triangular Edge Length Example

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

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

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

9.9889 = (\frac{3 - \sqrt{5}}{2}) \cdot (\frac{19}{\sqrt{5 - (2 \cdot \sqrt{5})}})

9.9889m = (\frac{3 - \sqrt{5}}{2}) \cdot (\frac{19m}{\sqrt{5 - (2 \cdot \sqrt{5})}})

9.9889 = (\frac{3 - \sqrt{5}}{2}) \cdot (\frac{19}{\sqrt{5 - (2 \cdot \sqrt{5})}})

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Edge Length of Truncated Rhombohedron given Triangular Edge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = (\frac{3 - \sqrt{5}}{2}) \cdot (\frac{19m}{\sqrt{5 - (2 \cdot \sqrt{5})}})

Next Step Prepare to Evaluate

∴

l e = (\frac{3 - \sqrt{5}}{2}) \cdot (\frac{19}{\sqrt{5 - (2 \cdot \sqrt{5})}})

Next Step Evaluate

∴

l e = 9.98889113026354m

LAST Step Rounding Answer

∴

l e = 9.9889m

Edge Length of Truncated Rhombohedron given Triangular Edge Length Formula Elements

Variables

Functions

Edge Length of Truncated Rhombohedron

Edge Length of Truncated Rhombohedron is the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Truncated Rhombohedron

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

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 Edge Length of Truncated Rhombohedron

Go Edge Length of Truncated Rhombohedron given Rhombohedral Edge Length

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

Go Edge Length of Truncated Rhombohedron given Circumsphere Radius

l e = (\frac{3 - \sqrt{5}}{2}) \cdot (\frac{4 \cdot r c}{\sqrt{14 - (2 \cdot \sqrt{5})}})

Go Edge Length of Truncated Rhombohedron given Total Surface Area

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

Go Edge Length of Truncated Rhombohedron given Area of Pentagon

l e = (\frac{\sqrt{4 \cdot \frac{A Pentagon}{\sqrt{5 + 2 \cdot \sqrt{5}}}}}{2}) \cdot (3 - \sqrt{5})

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

Edge Length of Truncated Rhombohedron given Triangular Edge Length evaluator uses Edge Length of Truncated Rhombohedron = ((3-sqrt(5))/2)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5))))) to evaluate the Edge Length of Truncated Rhombohedron, Edge Length of Truncated Rhombohedron given Triangular Edge Length formula is defined as the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron, calculated using its triangular edge length. Edge Length of Truncated Rhombohedron is denoted by l_e symbol.

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

FAQs on Edge Length of Truncated Rhombohedron given Triangular Edge Length

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

The formula of Edge Length of Truncated Rhombohedron given Triangular Edge Length is expressed as Edge Length of Truncated Rhombohedron = ((3-sqrt(5))/2)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5))))). Here is an example- 9.988891 = ((3-sqrt(5))/2)*(19/(sqrt(5-(2*sqrt(5))))).

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

With Triangular Edge Length of Truncated Rhombohedron (l_e(Triangle)) we can find Edge Length of Truncated Rhombohedron given Triangular Edge Length using the formula - Edge Length of Truncated Rhombohedron = ((3-sqrt(5))/2)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5))))). This formula also uses Square Root (sqrt) function(s).

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

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

Edge Length of Truncated Rhombohedron=(Rhombohedral Edge Length of Truncated Rhombohedron*(3-sqrt(5)))/2
Edge Length of Truncated Rhombohedron=((3-sqrt(5))/2)*((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))
Edge Length of Truncated Rhombohedron=((3-sqrt(5))/2)*(sqrt((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))))

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

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

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

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

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