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Pentagonal Edge Length of Base of Star Pyramid given Ridge Length Formula

GoPentagonal Edge Length of Base of Star Pyramid given Chord Length Formula

GoPentagonal Edge Length of Base of Star Pyramid Formula

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Pentagonal Edge Length of Base of Star Pyramid is the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed. Check FAQs

l e(Pentagon) = \sqrt{\frac{({l e(Ridge)}^{2} - h^{2}) \cdot 100}{50 + (10 \cdot \sqrt{5})}}

l_e(Pentagon) - Pentagonal Edge Length of Base of Star Pyramid?l_e(Ridge) - Ridge Length of Star Pyramid?h - Height of Star Pyramid?

Pentagonal Edge Length of Base of Star Pyramid given Ridge Length Example

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Here is how the Pentagonal Edge Length of Base of Star Pyramid given Ridge Length equation looks like with Values.

Here is how the Pentagonal Edge Length of Base of Star Pyramid given Ridge Length equation looks like with Units.

Here is how the Pentagonal Edge Length of Base of Star Pyramid given Ridge Length equation looks like.

4.553 = \sqrt{\frac{(8^{2} - 7^{2}) \cdot 100}{50 + (10 \cdot \sqrt{5})}}

4.553m = \sqrt{\frac{({8m}^{2} - {7m}^{2}) \cdot 100}{50 + (10 \cdot \sqrt{5})}}

4.553 = \sqrt{\frac{(8^{2} - 7^{2}) \cdot 100}{50 + (10 \cdot \sqrt{5})}}

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Pentagonal Edge Length of Base of Star Pyramid given Ridge Length Solution

Follow our step by step solution on how to calculate Pentagonal Edge Length of Base of Star Pyramid given Ridge Length?

FIRST Step Consider the formula

l e(Pentagon) = \sqrt{\frac{({l e(Ridge)}^{2} - h^{2}) \cdot 100}{50 + (10 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

l e(Pentagon) = \sqrt{\frac{({8m}^{2} - {7m}^{2}) \cdot 100}{50 + (10 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

l e(Pentagon) = \sqrt{\frac{(8^{2} - 7^{2}) \cdot 100}{50 + (10 \cdot \sqrt{5})}}

Next Step Evaluate

∴

l e(Pentagon) = 4.55296498655015m

LAST Step Rounding Answer

∴

l e(Pentagon) = 4.553m

Pentagonal Edge Length of Base of Star Pyramid given Ridge Length Formula Elements

Variables

Functions

Pentagonal Edge Length of Base of Star Pyramid

Pentagonal Edge Length of Base of Star Pyramid is the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed.

Symbol: l_e(Pentagon)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagonal Edge Length of Base of Star Pyramid

Ridge Length of Star Pyramid

Ridge Length of Star Pyramid is the length of the line joining any inner vertex of base of the Star Pyramid and the apex of the Star Pyramid.

Symbol: l_e(Ridge)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Ridge Length of Star Pyramid

Height of Star Pyramid

Height of Star Pyramid is the length of the perpendicular from the apex of the Star Pyramid, where the five spikes meet to the base of the Star Pyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Star Pyramid

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 Pentagonal Edge Length of Base of Star Pyramid

Go Pentagonal Edge Length of Base of Star Pyramid given Chord Length

l e(Pentagon) = \frac{l c}{{[phi]}^{2}}

Go Pentagonal Edge Length of Base of Star Pyramid

l e(Pentagon) = \frac{l e(Base)}{[phi]}

Go Pentagonal Edge Length of Base of Star Pyramid given Volume

l e(Pentagon) = \frac{\sqrt{\frac{6 \cdot V}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot h}}}{{[phi]}^{2}}

How to Evaluate Pentagonal Edge Length of Base of Star Pyramid given Ridge Length?

Pentagonal Edge Length of Base of Star Pyramid given Ridge Length evaluator uses Pentagonal Edge Length of Base of Star Pyramid = sqrt(((Ridge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5)))) to evaluate the Pentagonal Edge Length of Base of Star Pyramid, Pentagonal Edge Length of Base of Star Pyramid given Ridge Length formula is defined as the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed and is calculated using the ridge length and height of the Star Pyramid. Pentagonal Edge Length of Base of Star Pyramid is denoted by l_e(Pentagon) symbol.

How to evaluate Pentagonal Edge Length of Base of Star Pyramid given Ridge Length using this online evaluator? To use this online evaluator for Pentagonal Edge Length of Base of Star Pyramid given Ridge Length, enter Ridge Length of Star Pyramid (l_e(Ridge)) & Height of Star Pyramid (h) and hit the calculate button.

FAQs on Pentagonal Edge Length of Base of Star Pyramid given Ridge Length

What is the formula to find Pentagonal Edge Length of Base of Star Pyramid given Ridge Length?

The formula of Pentagonal Edge Length of Base of Star Pyramid given Ridge Length is expressed as Pentagonal Edge Length of Base of Star Pyramid = sqrt(((Ridge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5)))). Here is an example- 4.552965 = sqrt(((8^2-7^2)*100)/(50+(10*sqrt(5)))).

How to calculate Pentagonal Edge Length of Base of Star Pyramid given Ridge Length?

With Ridge Length of Star Pyramid (l_e(Ridge)) & Height of Star Pyramid (h) we can find Pentagonal Edge Length of Base of Star Pyramid given Ridge Length using the formula - Pentagonal Edge Length of Base of Star Pyramid = sqrt(((Ridge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Pentagonal Edge Length of Base of Star Pyramid?

Here are the different ways to Calculate Pentagonal Edge Length of Base of Star Pyramid-

Pentagonal Edge Length of Base of Star Pyramid=Chord Length of Star Pyramid/[phi]^2
Pentagonal Edge Length of Base of Star Pyramid=Edge Length of Base of Star Pyramid/([phi])
Pentagonal Edge Length of Base of Star Pyramid=(sqrt((6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Height of Star Pyramid)))/[phi]^2

Can the Pentagonal Edge Length of Base of Star Pyramid given Ridge Length be negative?

No, the Pentagonal Edge Length of Base of Star Pyramid given Ridge Length, measured in Length cannot be negative.

Which unit is used to measure Pentagonal Edge Length of Base of Star Pyramid given Ridge Length?

Pentagonal Edge Length of Base of Star Pyramid given Ridge Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Pentagonal Edge Length of Base of Star Pyramid given Ridge Length can be measured.

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Pentagonal Edge Length of Base of Star Pyramid given Ridge Length Formula

​GoPentagonal Edge Length of Base of Star Pyramid given Chord Length Formula

​GoPentagonal Edge Length of Base of Star Pyramid Formula

Pentagonal Edge Length of Base of Star Pyramid given Ridge Length Example

Pentagonal Edge Length of Base of Star Pyramid given Ridge Length Solution

Pentagonal Edge Length of Base of Star Pyramid given Ridge Length Formula Elements

Other Formulas to find Pentagonal Edge Length of Base of Star Pyramid

How to Evaluate Pentagonal Edge Length of Base of Star Pyramid given Ridge Length?

FAQs on Pentagonal Edge Length of Base of Star Pyramid given Ridge Length

Variable Name

GoPentagonal Edge Length of Base of Star Pyramid given Chord Length Formula

GoPentagonal Edge Length of Base of Star Pyramid Formula