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Long Ridge Length of Great Icosahedron given Mid Ridge Length Formula

GoLong Ridge Length of Great Icosahedron Formula

GoLong Ridge Length of Great Icosahedron given Short 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{2 \cdot l Ridge(Mid)}{1 + \sqrt{5}}

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

Long Ridge Length of Great Icosahedron given Mid Ridge Length Example

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

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

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

16.3734 = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{2 \cdot 16}{1 + \sqrt{5}}

16.3734m = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{2 \cdot 16m}{1 + \sqrt{5}}

16.3734 = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{2 \cdot 16}{1 + \sqrt{5}}

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Long Ridge Length of Great Icosahedron given Mid Ridge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{2 \cdot 16m}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{2 \cdot 16}{1 + \sqrt{5}}

Next Step Evaluate

∴

l Ridge(Long) = 16.3733527552542m

LAST Step Rounding Answer

∴

l Ridge(Long) = 16.3734m

Long Ridge Length of Great Icosahedron given Mid 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

Mid Ridge Length of Great Icosahedron

Mid Ridge Length of Great Icosahedron the length of any of the edges that starts from the peak vertex and end on the interior of the pentagon on which each peak of Great Icosahedron is attached.

Symbol: l_Ridge(Mid)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mid 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 Short Ridge Length

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

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 Mid Ridge Length?

Long Ridge Length of Great Icosahedron given Mid Ridge Length evaluator uses Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5)) to evaluate the Long Ridge Length of Great Icosahedron, Long Ridge Length of Great Icosahedron given Mid 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 long 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 Mid Ridge Length using this online evaluator? To use this online evaluator for Long Ridge Length of Great Icosahedron given Mid Ridge Length, enter Mid Ridge Length of Great Icosahedron (l_Ridge(Mid)) and hit the calculate button.

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

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

The formula of Long Ridge Length of Great Icosahedron given Mid Ridge Length is expressed as Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5)). Here is an example- 16.37335 = (sqrt(2)*(5+(3*sqrt(5))))/10*(2*16)/(1+sqrt(5)).

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

With Mid Ridge Length of Great Icosahedron (l_Ridge(Mid)) we can find Long Ridge Length of Great Icosahedron given Mid Ridge Length using the formula - Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5)). 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*(5*Short Ridge Length of Great Icosahedron)/sqrt(10)
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 Mid Ridge Length be negative?

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

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

Long Ridge Length of Great Icosahedron given Mid 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 Mid Ridge Length can be measured.

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