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Lateral Edge Length of Star Pyramid given Ridge Length Formula

GoLateral Edge Length of Star Pyramid Formula

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Lateral Edge Length of Star Pyramid is the length of the line joining any spike or outer vertex of base of the Star Pyramid and the apex of the Star Pyramid. Check FAQs

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

l_e(Lateral) - Lateral Edge Length of Star Pyramid?l_c - Chord Length of Star Pyramid?l_e(Ridge) - Ridge Length of Star Pyramid?l_e(Pentagon) - Pentagonal Edge Length of Base of Star Pyramid?

Lateral Edge Length of Star Pyramid given Ridge Length Example

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

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

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

11.1706 = \sqrt{(\frac{10^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + 8^{2} - (\frac{4^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5})))}

11.1706m = \sqrt{(\frac{{10m}^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + {8m}^{2} - (\frac{{4m}^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5})))}

11.1706 = \sqrt{(\frac{10^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + 8^{2} - (\frac{4^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5})))}

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Lateral Edge Length of Star Pyramid given Ridge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Lateral) = \sqrt{(\frac{{10m}^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + {8m}^{2} - (\frac{{4m}^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5})))}

Next Step Prepare to Evaluate

∴

l e(Lateral) = \sqrt{(\frac{10^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + 8^{2} - (\frac{4^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5})))}

Next Step Evaluate

∴

l e(Lateral) = 11.1706298394942m

LAST Step Rounding Answer

∴

l e(Lateral) = 11.1706m

Lateral Edge Length of Star Pyramid given Ridge Length Formula Elements

Variables

Functions

Lateral Edge Length of Star Pyramid

Lateral Edge Length of Star Pyramid is the length of the line joining any spike or outer vertex of base of the Star Pyramid and the apex of the Star Pyramid.

Symbol: l_e(Lateral)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Lateral Edge Length of Star Pyramid

Chord Length of Star Pyramid

Chord Length of Star Pyramid is the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid.

Symbol: l_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Chord Length 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

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

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 Lateral Edge Length of Star Pyramid

Go Lateral Edge Length of Star Pyramid

l e(Lateral) = \sqrt{(\frac{{l c}^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + h^{2}}

How to Evaluate Lateral Edge Length of Star Pyramid given Ridge Length?

Lateral Edge Length of Star Pyramid given Ridge Length evaluator uses Lateral Edge Length of Star Pyramid = sqrt((Chord Length of Star Pyramid^2/100*(50+(10*sqrt(5))))+Ridge Length of Star Pyramid^2-(Pentagonal Edge Length of Base of Star Pyramid^2/100*(50+(10*sqrt(5))))) to evaluate the Lateral Edge Length of Star Pyramid, Lateral Edge Length of Star Pyramid given Ridge Length formula is defined as the length of the line joining any spike or outer vertex of base of the Star Pyramid and the apex of the Star Pyramid and is calculated using the chord length, pentagonal edge length of base and ridge length of the Star Pyramid. Lateral Edge Length of Star Pyramid is denoted by l_e(Lateral) symbol.

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

FAQs on Lateral Edge Length of Star Pyramid given Ridge Length

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

The formula of Lateral Edge Length of Star Pyramid given Ridge Length is expressed as Lateral Edge Length of Star Pyramid = sqrt((Chord Length of Star Pyramid^2/100*(50+(10*sqrt(5))))+Ridge Length of Star Pyramid^2-(Pentagonal Edge Length of Base of Star Pyramid^2/100*(50+(10*sqrt(5))))). Here is an example- 11.17063 = sqrt((10^2/100*(50+(10*sqrt(5))))+8^2-(4^2/100*(50+(10*sqrt(5))))).

How to calculate Lateral Edge Length of Star Pyramid given Ridge Length?

With Chord Length of Star Pyramid (l_c), Ridge Length of Star Pyramid (l_e(Ridge)) & Pentagonal Edge Length of Base of Star Pyramid (l_e(Pentagon)) we can find Lateral Edge Length of Star Pyramid given Ridge Length using the formula - Lateral Edge Length of Star Pyramid = sqrt((Chord Length of Star Pyramid^2/100*(50+(10*sqrt(5))))+Ridge Length of Star Pyramid^2-(Pentagonal Edge Length of Base 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 Lateral Edge Length of Star Pyramid?

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

Lateral Edge Length of Star Pyramid=sqrt((Chord Length of Star Pyramid^2/100*(50+(10*sqrt(5))))+Height of Star Pyramid^2)

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

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

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

Lateral Edge Length 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 Lateral Edge Length of Star Pyramid given Ridge Length can be measured.

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Lateral Edge Length of Star Pyramid given Ridge Length Formula

​GoLateral Edge Length of Star Pyramid Formula

Lateral Edge Length of Star Pyramid given Ridge Length Example

Lateral Edge Length of Star Pyramid given Ridge Length Solution

Lateral Edge Length of Star Pyramid given Ridge Length Formula Elements

Other Formulas to find Lateral Edge Length of Star Pyramid

How to Evaluate Lateral Edge Length of Star Pyramid given Ridge Length?

FAQs on Lateral Edge Length of Star Pyramid given Ridge Length

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GoLateral Edge Length of Star Pyramid Formula