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Short Edge of Pentagonal Icositetrahedron given Midsphere Radius Formula

GoShort Edge of Pentagonal Icositetrahedron given Long Edge Formula

GoShort Edge of Pentagonal Icositetrahedron Formula

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Short Edge of Pentagonal Icositetrahedron is the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron. Check FAQs

l e(Short) = 2 \cdot \sqrt{\frac{(2 - [Tribonacci_C])}{[Tribonacci_C] + 1}} \cdot r m

l_e(Short) - Short Edge of Pentagonal Icositetrahedron?r_m - Midsphere Radius of Pentagonal Icositetrahedron?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?

Short Edge of Pentagonal Icositetrahedron given Midsphere Radius Example

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Here is how the Short Edge of Pentagonal Icositetrahedron given Midsphere Radius equation looks like with Values.

Here is how the Short Edge of Pentagonal Icositetrahedron given Midsphere Radius equation looks like with Units.

Here is how the Short Edge of Pentagonal Icositetrahedron given Midsphere Radius equation looks like.

6.1858 = 2 \cdot \sqrt{\frac{(2 - 1.8393)}{1.8393 + 1}} \cdot 13

6.1858m = 2 \cdot \sqrt{\frac{(2 - 1.8393)}{1.8393 + 1}} \cdot 13m

6.1858 = 2 \cdot \sqrt{\frac{(2 - 1.8393)}{1.8393 + 1}} \cdot 13

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Short Edge of Pentagonal Icositetrahedron given Midsphere Radius Solution

Follow our step by step solution on how to calculate Short Edge of Pentagonal Icositetrahedron given Midsphere Radius?

FIRST Step Consider the formula

l e(Short) = 2 \cdot \sqrt{\frac{(2 - [Tribonacci_C])}{[Tribonacci_C] + 1}} \cdot r m

Next Step Substitute values of Variables

∴

l e(Short) = 2 \cdot \sqrt{\frac{(2 - [Tribonacci_C])}{[Tribonacci_C] + 1}} \cdot 13m

Next Step Substitute values of Constants

∴

l e(Short) = 2 \cdot \sqrt{\frac{(2 - 1.8393)}{1.8393 + 1}} \cdot 13m

Next Step Prepare to Evaluate

∴

l e(Short) = 2 \cdot \sqrt{\frac{(2 - 1.8393)}{1.8393 + 1}} \cdot 13

Next Step Evaluate

∴

l e(Short) = 6.18578120229014m

LAST Step Rounding Answer

∴

l e(Short) = 6.1858m

Short Edge of Pentagonal Icositetrahedron given Midsphere Radius Formula Elements

Variables

Constants

Functions

Short Edge of Pentagonal Icositetrahedron

Short Edge of Pentagonal Icositetrahedron is the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge of Pentagonal Icositetrahedron

Midsphere Radius of Pentagonal Icositetrahedron

Midsphere Radius of Pentagonal Icositetrahedron is the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Pentagonal Icositetrahedron

Tribonacci constant

Tribonacci constant is the limit of the ratio of the nth term to the (n-1)th term of the Tribonacci sequence as n approaches infinity.

Symbol: [Tribonacci_C]

Value: 1.839286755214161

Tribonacci constant

Tribonacci constant is the limit of the ratio of the nth term to the (n-1)th term of the Tribonacci sequence as n approaches infinity.

Symbol: [Tribonacci_C]

Value: 1.839286755214161

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 Short Edge of Pentagonal Icositetrahedron

Go Short Edge of Pentagonal Icositetrahedron given Long Edge

l e(Short) = \frac{2 \cdot l e(Long)}{[Tribonacci_C] + 1}

Go Short Edge of Pentagonal Icositetrahedron

l e(Short) = \frac{l e(Snub Cube)}{\sqrt{[Tribonacci_C] + 1}}

Go Short Edge of Pentagonal Icositetrahedron given Total Surface Area

l e(Short) = \sqrt{\frac{TSA}{3}} \cdot {(\frac{(4 \cdot [Tribonacci_C]) - 3}{22 \cdot ((5 \cdot [Tribonacci_C]) - 1)})}^{\frac{1}{4}} \cdot \frac{1}{\sqrt{[Tribonacci_C] + 1}}

Go Short Edge of Pentagonal Icositetrahedron given Volume

l e(Short) = V^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}{11 \cdot ([Tribonacci_C] - 4)})}^{\frac{1}{6}} \cdot \frac{1}{\sqrt{[Tribonacci_C] + 1}}

How to Evaluate Short Edge of Pentagonal Icositetrahedron given Midsphere Radius?

Short Edge of Pentagonal Icositetrahedron given Midsphere Radius evaluator uses Short Edge of Pentagonal Icositetrahedron = 2*sqrt(((2-[Tribonacci_C]))/([Tribonacci_C]+1))*Midsphere Radius of Pentagonal Icositetrahedron to evaluate the Short Edge of Pentagonal Icositetrahedron, Short Edge of Pentagonal Icositetrahedron given Midsphere Radius formula is defined as the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron, calculated using midsphere radius of Pentagonal Icositetrahedron. Short Edge of Pentagonal Icositetrahedron is denoted by l_e(Short) symbol.

How to evaluate Short Edge of Pentagonal Icositetrahedron given Midsphere Radius using this online evaluator? To use this online evaluator for Short Edge of Pentagonal Icositetrahedron given Midsphere Radius, enter Midsphere Radius of Pentagonal Icositetrahedron (r_m) and hit the calculate button.

FAQs on Short Edge of Pentagonal Icositetrahedron given Midsphere Radius

What is the formula to find Short Edge of Pentagonal Icositetrahedron given Midsphere Radius?

The formula of Short Edge of Pentagonal Icositetrahedron given Midsphere Radius is expressed as Short Edge of Pentagonal Icositetrahedron = 2*sqrt(((2-[Tribonacci_C]))/([Tribonacci_C]+1))*Midsphere Radius of Pentagonal Icositetrahedron. Here is an example- 6.185781 = 2*sqrt(((2-[Tribonacci_C]))/([Tribonacci_C]+1))*13.

How to calculate Short Edge of Pentagonal Icositetrahedron given Midsphere Radius?

With Midsphere Radius of Pentagonal Icositetrahedron (r_m) we can find Short Edge of Pentagonal Icositetrahedron given Midsphere Radius using the formula - Short Edge of Pentagonal Icositetrahedron = 2*sqrt(((2-[Tribonacci_C]))/([Tribonacci_C]+1))*Midsphere Radius of Pentagonal Icositetrahedron. This formula also uses Tribonacci constant, Tribonacci constant and Square Root Function function(s).

What are the other ways to Calculate Short Edge of Pentagonal Icositetrahedron?

Here are the different ways to Calculate Short Edge of Pentagonal Icositetrahedron-

Short Edge of Pentagonal Icositetrahedron=(2*Long Edge of Pentagonal Icositetrahedron)/([Tribonacci_C]+1)
Short Edge of Pentagonal Icositetrahedron=Snub Cube Edge of Pentagonal Icositetrahedron/sqrt([Tribonacci_C]+1)
Short Edge of Pentagonal Icositetrahedron=sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)*1/sqrt([Tribonacci_C]+1)

Can the Short Edge of Pentagonal Icositetrahedron given Midsphere Radius be negative?

No, the Short Edge of Pentagonal Icositetrahedron given Midsphere Radius, measured in Length cannot be negative.

Which unit is used to measure Short Edge of Pentagonal Icositetrahedron given Midsphere Radius?

Short Edge of Pentagonal Icositetrahedron given Midsphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Short Edge of Pentagonal Icositetrahedron given Midsphere Radius can be measured.

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