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Long Ridge Length of Great Icosahedron given Short Ridge Length Formula

GoLong Ridge Length of Great Icosahedron Formula

GoLong Ridge Length of Great Icosahedron given Mid Ridge Length Formula

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Long Ridge Length of Great Icosahedron is the length of any of the edges that connects the peak vertex and adjacent vertex of the pentagon on which each peak of Great Icosahedron is attached. Check FAQs

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{5 \cdot l Ridge(Short)}{\sqrt{10}}

l_Ridge(Long) - Long Ridge Length of Great Icosahedron?l_Ridge(Short) - Short Ridge Length of Great Icosahedron?

Long Ridge Length of Great Icosahedron given Short Ridge Length Example

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Here is how the Long Ridge Length of Great Icosahedron given Short Ridge Length equation looks like with Values.

Here is how the Long Ridge Length of Great Icosahedron given Short Ridge Length equation looks like with Units.

Here is how the Long Ridge Length of Great Icosahedron given Short Ridge Length equation looks like.

15.7082 = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{5 \cdot 6}{\sqrt{10}}

15.7082m = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{5 \cdot 6m}{\sqrt{10}}

15.7082 = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{5 \cdot 6}{\sqrt{10}}

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Long Ridge Length of Great Icosahedron given Short Ridge Length Solution

Follow our step by step solution on how to calculate Long Ridge Length of Great Icosahedron given Short Ridge Length?

FIRST Step Consider the formula

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{5 \cdot l Ridge(Short)}{\sqrt{10}}

Next Step Substitute values of Variables

∴

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{5 \cdot 6m}{\sqrt{10}}

Next Step Prepare to Evaluate

∴

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{5 \cdot 6}{\sqrt{10}}

Next Step Evaluate

∴

l Ridge(Long) = 15.7082039324994m

LAST Step Rounding Answer

∴

l Ridge(Long) = 15.7082m

Long Ridge Length of Great Icosahedron given Short Ridge Length Formula Elements

Variables

Functions

Long Ridge Length of Great Icosahedron

Long Ridge Length of Great Icosahedron is the length of any of the edges that connects the peak vertex and adjacent vertex of the pentagon on which each peak of Great Icosahedron is attached.

Symbol: l_Ridge(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Ridge Length of Great Icosahedron

Short Ridge Length of Great Icosahedron

Short Ridge Length of Great Icosahedron is defined as the maximum vertical distance between the finished bottom level and the finished top height directly above of Great Icosahedron.

Symbol: l_Ridge(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Ridge Length of Great Icosahedron

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 Long Ridge Length of Great Icosahedron

Go Long Ridge Length of Great Icosahedron

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot l e

Go Long Ridge Length of Great Icosahedron given Mid Ridge Length

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{2 \cdot l Ridge(Mid)}{1 + \sqrt{5}}

Go Long Ridge Length of Great Icosahedron given Circumsphere Radius

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{4 \cdot r c}{\sqrt{50 + (22 \cdot \sqrt{5})}}

Go Long Ridge Length of Great Icosahedron given Total Surface Area

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

How to Evaluate Long Ridge Length of Great Icosahedron given Short Ridge Length?

Long Ridge Length of Great Icosahedron given Short Ridge Length evaluator uses Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*(5*Short Ridge Length of Great Icosahedron)/sqrt(10) to evaluate the Long Ridge Length of Great Icosahedron, Long Ridge Length of Great Icosahedron given Short Ridge Length formula is defined as the length of any of the edges that connects the peak vertex and adjacent vertex of the pentagon on which each peak of the Great Icosahedron is attached, calculated using short ridge length. Long Ridge Length of Great Icosahedron is denoted by l_Ridge(Long) symbol.

How to evaluate Long Ridge Length of Great Icosahedron given Short Ridge Length using this online evaluator? To use this online evaluator for Long Ridge Length of Great Icosahedron given Short Ridge Length, enter Short Ridge Length of Great Icosahedron (l_Ridge(Short)) and hit the calculate button.

FAQs on Long Ridge Length of Great Icosahedron given Short Ridge Length

What is the formula to find Long Ridge Length of Great Icosahedron given Short Ridge Length?

The formula of Long Ridge Length of Great Icosahedron given Short Ridge Length is expressed as Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*(5*Short Ridge Length of Great Icosahedron)/sqrt(10). Here is an example- 15.7082 = (sqrt(2)*(5+(3*sqrt(5))))/10*(5*6)/sqrt(10).

How to calculate Long Ridge Length of Great Icosahedron given Short Ridge Length?

With Short Ridge Length of Great Icosahedron (l_Ridge(Short)) we can find Long Ridge Length of Great Icosahedron given Short Ridge Length using the formula - Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*(5*Short Ridge Length of Great Icosahedron)/sqrt(10). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Long Ridge Length of Great Icosahedron?

Here are the different ways to Calculate Long Ridge Length of Great Icosahedron-

Long Ridge Length of Great Icosahedron=(sqrt(2)*(5+(3*sqrt(5))))/10*Edge Length of Great Icosahedron
Long Ridge Length of Great Icosahedron=(sqrt(2)*(5+(3*sqrt(5))))/10*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5))
Long Ridge Length of Great Icosahedron=(sqrt(2)*(5+(3*sqrt(5))))/10*(4*Circumsphere Radius of Great Icosahedron)/(sqrt(50+(22*sqrt(5))))

Can the Long Ridge Length of Great Icosahedron given Short Ridge Length be negative?

No, the Long Ridge Length of Great Icosahedron given Short Ridge Length, measured in Length cannot be negative.

Which unit is used to measure Long Ridge Length of Great Icosahedron given Short Ridge Length?

Long Ridge Length of Great Icosahedron given Short Ridge Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Ridge Length of Great Icosahedron given Short Ridge Length can be measured.

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