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Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge Formula

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GoLonger Top Edge of Skewed Three Edged Prism Formula

3

GoLonger Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge Formula

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Longer Top Edge of Skewed Three Edged Prism is the length of the longest edge of the triangular face at the top of the Skewed Three Edged Prism. Check FAQs

l e(Long Top) = \sqrt{{l e(Long Base)}^{2} + {(\sqrt{{l e(Medium Top)}^{2} - {l e(Medium Base)}^{2}} - h Long + h Medium)}^{2}}

l_{e(Long Top)} - Longer Top Edge of Skewed Three Edged Prism?l_{e(Long Base)} - Longer Base Edge of Skewed Three Edged Prism?l_{e(Medium Top)} - Medium Top Edge of Skewed Three Edged Prism?l_{e(Medium Base)} - Medium Base Edge of Skewed Three Edged Prism?h_Long - Long Height of Skewed Three Edged Prism?h_Medium - Medium Height of Skewed Three Edged Prism?

Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge Example

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Here is how the Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge equation looks like with Values.

Here is how the Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge equation looks like with Units.

Here is how the Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge equation looks like.

20.0614 = \sqrt{20^{2} + {(\sqrt{16^{2} - 15^{2}} - 12 + 8)}^{2}}

20.0614m = \sqrt{{20m}^{2} + {(\sqrt{{16m}^{2} - {15m}^{2}} - 12m + 8m)}^{2}}

20.0614 = \sqrt{20^{2} + {(\sqrt{16^{2} - 15^{2}} - 12 + 8)}^{2}}

Tip: Use pencil () icon above to edit Input Values and Units.

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Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge Solution

Follow our step by step solution on how to calculate Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge?

FIRST Step Consider the formula

l e(Long Top) = \sqrt{{l e(Long Base)}^{2} + {(\sqrt{{l e(Medium Top)}^{2} - {l e(Medium Base)}^{2}} - h Long + h Medium)}^{2}}

Next Step Substitute values of Variables

∴

l e(Long Top) = \sqrt{{20m}^{2} + {(\sqrt{{16m}^{2} - {15m}^{2}} - 12m + 8m)}^{2}}

Next Step Prepare to Evaluate

∴

l e(Long Top) = \sqrt{20^{2} + {(\sqrt{16^{2} - 15^{2}} - 12 + 8)}^{2}}

Next Step Evaluate

∴

l e(Long Top) = 20.0613530225994m

LAST Step Rounding Answer

∴

l e(Long Top) = 20.0614m

Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge Formula Elements

Variables

Functions

Longer Top Edge of Skewed Three Edged Prism

Longer Top Edge of Skewed Three Edged Prism is the length of the longest edge of the triangular face at the top of the Skewed Three Edged Prism.

Symbol: l_{e(Long Top)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Longer Base Edge of Skewed Three Edged Prism

Longer Base Edge of Skewed Three Edged Prism is the length of the longest edge of the triangular face at the bottom of the Skewed Three Edged Prism.

Symbol: l_{e(Long Base)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Medium Top Edge of Skewed Three Edged Prism

Medium Top Edge of Skewed Three Edged Prism is the length of the medium-sized edge of the triangular face at the top of the Skewed Three Edged Prism.

Symbol: l_{e(Medium Top)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Medium Base Edge of Skewed Three Edged Prism

Medium Base Edge of Skewed Three Edged Prism is the length of the medium-sized edge of the triangular face at the bottom of the Skewed Three Edged Prism.

Symbol: l_{e(Medium Base)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Long Height of Skewed Three Edged Prism

Long Height of Skewed Three Edged Prism is the length of the longest lateral edge or the maximum vertical distance between top and bottom triangular faces of the Skewed Three Edged Prism.

Symbol: h_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Medium Height of Skewed Three Edged Prism

Medium Height of Skewed Three Edged Prism is the length of the medium sized lateral edge of the Skewed Three Edged Prism.

Symbol: h_Medium

Measurement: LengthUnit: m

Note: Value should be greater than 0.

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)

Credits

Creator Image

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Formula and 2500+ more formulas!

Verifier Image

Verified by

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Formula and 1700+ more formulas!

Other Formulas to find Longer Top Edge of Skewed Three Edged Prism

Go Longer Top Edge of Skewed Three Edged Prism

l e(Long Top) = \sqrt{({l e(Long Base)}^{2}) + ({(h Short - h Medium)}^{2})}

Go Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge

l e(Long Top) = \sqrt{{l e(Long Base)}^{2} + {(h Long - h Short - \sqrt{{l e(Short Top)}^{2} - {l e(Short Base)}^{2}})}^{2}}

Go Longer Top Edge of Skewed Three Edged Prism given Top Perimeter

l e(Long Top) = P Top(Skewed) - l e(Short Top) - l e(Medium Top)

Other formulas in Longer Edge of Skewed Three Edged Prism category

Go Longer Base Edge of Skewed Three Edged Prism

l e(Long Base) = \sqrt{({l e(Long Top)}^{2}) - ({(h Short - h Medium)}^{2})}

Go Longer Base Edge of Skewed Three Edged Prism given Base Perimeter

l e(Long Base) = P Base(Even) - l e(Medium Base) - l e(Short Base)

Go Longer Base Edge of Skewed Three Edged Prism given Long Edged Trapezoidal Area

l e(Long Base) = \frac{2 \cdot A Trapezoidal(Long)}{h Medium + h Short}

How to Evaluate Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge?

Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge evaluator uses Longer Top Edge of Skewed Three Edged Prism = sqrt(Longer Base Edge of Skewed Three Edged Prism^2+(sqrt(Medium Top Edge of Skewed Three Edged Prism^2-Medium Base Edge of Skewed Three Edged Prism^2)-Long Height of Skewed Three Edged Prism+Medium Height of Skewed Three Edged Prism)^2) to evaluate the Longer Top Edge of Skewed Three Edged Prism, Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge formula is defined as the length of the longest edge of the triangular face at the top of the Skewed Three Edged Prism, calculated using its medium top and base edge. Longer Top Edge of Skewed Three Edged Prism is denoted by l_{e(Long Top)} symbol.

How to evaluate Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge using this online evaluator? To use this online evaluator for Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge, enter Longer Base Edge of Skewed Three Edged Prism (l_{e(Long Base)}), Medium Top Edge of Skewed Three Edged Prism (l_{e(Medium Top)}), Medium Base Edge of Skewed Three Edged Prism (l_{e(Medium Base)}), Long Height of Skewed Three Edged Prism (h_Long) & Medium Height of Skewed Three Edged Prism (h_Medium) and hit the calculate button.

FAQs on Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge

What is the formula to find Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge?

The formula of Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge is expressed as Longer Top Edge of Skewed Three Edged Prism = sqrt(Longer Base Edge of Skewed Three Edged Prism^2+(sqrt(Medium Top Edge of Skewed Three Edged Prism^2-Medium Base Edge of Skewed Three Edged Prism^2)-Long Height of Skewed Three Edged Prism+Medium Height of Skewed Three Edged Prism)^2). Here is an example- 20.06135 = sqrt(20^2+(sqrt(16^2-15^2)-12+8)^2).

How to calculate Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge?

With Longer Base Edge of Skewed Three Edged Prism (l_{e(Long Base)}), Medium Top Edge of Skewed Three Edged Prism (l_{e(Medium Top)}), Medium Base Edge of Skewed Three Edged Prism (l_{e(Medium Base)}), Long Height of Skewed Three Edged Prism (h_Long) & Medium Height of Skewed Three Edged Prism (h_Medium) we can find Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge using the formula - Longer Top Edge of Skewed Three Edged Prism = sqrt(Longer Base Edge of Skewed Three Edged Prism^2+(sqrt(Medium Top Edge of Skewed Three Edged Prism^2-Medium Base Edge of Skewed Three Edged Prism^2)-Long Height of Skewed Three Edged Prism+Medium Height of Skewed Three Edged Prism)^2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Longer Top Edge of Skewed Three Edged Prism?

Here are the different ways to Calculate Longer Top Edge of Skewed Three Edged Prism-

Longer Top Edge of Skewed Three Edged Prism=sqrt((Longer Base Edge of Skewed Three Edged Prism^2)+((Short Height of Skewed Three Edged Prism-Medium Height of Skewed Three Edged Prism)^2))
Longer Top Edge of Skewed Three Edged Prism=sqrt(Longer Base Edge of Skewed Three Edged Prism^2+(Long Height of Skewed Three Edged Prism-Short Height of Skewed Three Edged Prism-sqrt(Shorter Top Edge of Skewed Three Edged Prism^2-Shorter Base Edge of Skewed Three Edged Prism^2))^2)
Longer Top Edge of Skewed Three Edged Prism=Skewed Top Perimeter of Skewed Three Edged Prism-Shorter Top Edge of Skewed Three Edged Prism-Medium Top Edge of Skewed Three Edged Prism

Can the Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge be negative?

No, the Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge, measured in Length cannot be negative.

Which unit is used to measure Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge?

Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge can be measured.

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