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Ridge Length of Star Pyramid given Lateral Edge Length Formula

GoRidge Length of Star Pyramid Formula

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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. Check FAQs

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

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

Ridge Length of Star Pyramid given Lateral Edge Length Example

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

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

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

7.76 = \sqrt{(\frac{4^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + 11^{2} - (\frac{10^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5})))}

7.76m = \sqrt{(\frac{{4m}^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + {11m}^{2} - (\frac{{10m}^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5})))}

7.76 = \sqrt{(\frac{4^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + 11^{2} - (\frac{10^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5})))}

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Ridge Length of Star Pyramid given Lateral Edge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Ridge) = \sqrt{(\frac{{4m}^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + {11m}^{2} - (\frac{{10m}^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5})))}

Next Step Prepare to Evaluate

∴

l e(Ridge) = \sqrt{(\frac{4^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5}))) + 11^{2} - (\frac{10^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5})))}

Next Step Evaluate

∴

l e(Ridge) = 7.75996320796702m

LAST Step Rounding Answer

∴

l e(Ridge) = 7.76m

Ridge Length of Star Pyramid given Lateral Edge Length Formula Elements

Variables

Functions

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

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

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 Ridge Length of Star Pyramid

Go Ridge Length of Star Pyramid

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

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

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

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

FAQs on Ridge Length of Star Pyramid given Lateral Edge Length

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

The formula of Ridge Length of Star Pyramid given Lateral Edge Length is expressed as Ridge Length of Star Pyramid = sqrt((Pentagonal Edge Length of Base of Star Pyramid^2/100*(50+(10*sqrt(5))))+Lateral Edge Length of Star Pyramid^2-(Chord Length of Star Pyramid^2/100*(50+(10*sqrt(5))))). Here is an example- 7.759963 = sqrt((4^2/100*(50+(10*sqrt(5))))+11^2-(10^2/100*(50+(10*sqrt(5))))).

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

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

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

Ridge Length of Star Pyramid=sqrt((Pentagonal Edge Length of Base of Star Pyramid^2/100*(50+(10*sqrt(5))))+Height of Star Pyramid^2)

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

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

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

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

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Ridge Length of Star Pyramid given Lateral Edge Length Formula

​GoRidge Length of Star Pyramid Formula

Ridge Length of Star Pyramid given Lateral Edge Length Example

Ridge Length of Star Pyramid given Lateral Edge Length Solution

Ridge Length of Star Pyramid given Lateral Edge Length Formula Elements

Other Formulas to find Ridge Length of Star Pyramid

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

FAQs on Ridge Length of Star Pyramid given Lateral Edge Length

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GoRidge Length of Star Pyramid Formula