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Height of Trirectangular Tetrahedron Formula

GoHeight of Trirectangular Tetrahedron given First Base and Second Right Angle Edge Formula

GoHeight of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge Formula

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Height of Trirectangular Tetrahedron is the vertical distance from the acute triangular face of the Trirectangular Tetrahedron to the opposite corner where the right angle edges are joining. Check FAQs

h = \sqrt{\frac{1}{\frac{1}{{l e(Right1)}^{2}} + \frac{1}{{l e(Right2)}^{2}} + \frac{1}{{l e(Right3)}^{2}}}}

h - Height of Trirectangular Tetrahedron?l_e(Right1) - First RA Edge of Trirectangular Tetrahedron?l_e(Right2) - Second RA Edge of Trirectangular Tetrahedron?l_e(Right3) - Third RA Edge of Trirectangular Tetrahedron?

Height of Trirectangular Tetrahedron Example

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Here is how the Height of Trirectangular Tetrahedron equation looks like with Values.

Here is how the Height of Trirectangular Tetrahedron equation looks like with Units.

Here is how the Height of Trirectangular Tetrahedron equation looks like.

5.1319 = \sqrt{\frac{1}{\frac{1}{8^{2}} + \frac{1}{9^{2}} + \frac{1}{10^{2}}}}

5.1319m = \sqrt{\frac{1}{\frac{1}{{8m}^{2}} + \frac{1}{{9m}^{2}} + \frac{1}{{10m}^{2}}}}

5.1319 = \sqrt{\frac{1}{\frac{1}{8^{2}} + \frac{1}{9^{2}} + \frac{1}{10^{2}}}}

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Height of Trirectangular Tetrahedron Solution

Follow our step by step solution on how to calculate Height of Trirectangular Tetrahedron?

FIRST Step Consider the formula

h = \sqrt{\frac{1}{\frac{1}{{l e(Right1)}^{2}} + \frac{1}{{l e(Right2)}^{2}} + \frac{1}{{l e(Right3)}^{2}}}}

Next Step Substitute values of Variables

∴

h = \sqrt{\frac{1}{\frac{1}{{8m}^{2}} + \frac{1}{{9m}^{2}} + \frac{1}{{10m}^{2}}}}

Next Step Prepare to Evaluate

∴

h = \sqrt{\frac{1}{\frac{1}{8^{2}} + \frac{1}{9^{2}} + \frac{1}{10^{2}}}}

Next Step Evaluate

∴

h = 5.1318720313972m

LAST Step Rounding Answer

∴

h = 5.1319m

Height of Trirectangular Tetrahedron Formula Elements

Variables

Functions

Height of Trirectangular Tetrahedron

Height of Trirectangular Tetrahedron is the vertical distance from the acute triangular face of the Trirectangular Tetrahedron to the opposite corner where the right angle edges are joining.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Trirectangular Tetrahedron

First RA Edge of Trirectangular Tetrahedron

First RA Edge of Trirectangular Tetrahedron is the first edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.

Symbol: l_e(Right1)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find First RA Edge of Trirectangular Tetrahedron

Second RA Edge of Trirectangular Tetrahedron

Second RA Edge of Trirectangular Tetrahedron is the second edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.

Symbol: l_e(Right2)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Second RA Edge of Trirectangular Tetrahedron

Third RA Edge of Trirectangular Tetrahedron

Third RA Edge of Trirectangular Tetrahedron is the third edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.

Symbol: l_e(Right3)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Third RA Edge of Trirectangular Tetrahedron

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 Height of Trirectangular Tetrahedron

Go Height of Trirectangular Tetrahedron given First Base and Second Right Angle Edge

h = \sqrt{\frac{1}{\frac{1}{{l e(Base1)}^{2} - {l e(Right2)}^{2}} + \frac{1}{{l e(Right2)}^{2}} + \frac{1}{{l e(Right3)}^{2}}}}

Go Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge

h = \sqrt{\frac{1}{\frac{1}{{l e(Base3)}^{2} - {l e(Right3)}^{2}} + \frac{1}{{l e(Right2)}^{2}} + \frac{1}{{l e(Right3)}^{2}}}}

Go Height of Trirectangular Tetrahedron given Second Base and Third Right Angle Edge

h = \sqrt{\frac{1}{\frac{1}{{l e(Base2)}^{2} - {l e(Right3)}^{2}} + \frac{1}{{l e(Right1)}^{2}} + \frac{1}{{l e(Right3)}^{2}}}}

Go Height of Trirectangular Tetrahedron given First Base and First Right Angle Edge

h = \sqrt{\frac{1}{\frac{1}{{l e(Base1)}^{2} - {l e(Right1)}^{2}} + \frac{1}{{l e(Right1)}^{2}} + \frac{1}{{l e(Right3)}^{2}}}}

How to Evaluate Height of Trirectangular Tetrahedron?

Height of Trirectangular Tetrahedron evaluator uses Height of Trirectangular Tetrahedron = sqrt(1/(1/First RA Edge of Trirectangular Tetrahedron^2+1/Second RA Edge of Trirectangular Tetrahedron^2+1/Third RA Edge of Trirectangular Tetrahedron^2)) to evaluate the Height of Trirectangular Tetrahedron, Height of Trirectangular Tetrahedron formula is defined as the vertical distance from the acute triangular face of the Trirectangular Tetrahedron to the opposite corner where the right angle edges are joining. Height of Trirectangular Tetrahedron is denoted by h symbol.

How to evaluate Height of Trirectangular Tetrahedron using this online evaluator? To use this online evaluator for Height of Trirectangular Tetrahedron, enter First RA Edge of Trirectangular Tetrahedron (l_e(Right1)), Second RA Edge of Trirectangular Tetrahedron (l_e(Right2)) & Third RA Edge of Trirectangular Tetrahedron (l_e(Right3)) and hit the calculate button.

FAQs on Height of Trirectangular Tetrahedron

What is the formula to find Height of Trirectangular Tetrahedron?

The formula of Height of Trirectangular Tetrahedron is expressed as Height of Trirectangular Tetrahedron = sqrt(1/(1/First RA Edge of Trirectangular Tetrahedron^2+1/Second RA Edge of Trirectangular Tetrahedron^2+1/Third RA Edge of Trirectangular Tetrahedron^2)). Here is an example- 5.131872 = sqrt(1/(1/8^2+1/9^2+1/10^2)).

How to calculate Height of Trirectangular Tetrahedron?

With First RA Edge of Trirectangular Tetrahedron (l_e(Right1)), Second RA Edge of Trirectangular Tetrahedron (l_e(Right2)) & Third RA Edge of Trirectangular Tetrahedron (l_e(Right3)) we can find Height of Trirectangular Tetrahedron using the formula - Height of Trirectangular Tetrahedron = sqrt(1/(1/First RA Edge of Trirectangular Tetrahedron^2+1/Second RA Edge of Trirectangular Tetrahedron^2+1/Third RA Edge of Trirectangular Tetrahedron^2)). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Height of Trirectangular Tetrahedron?

Here are the different ways to Calculate Height of Trirectangular Tetrahedron-

Height of Trirectangular Tetrahedron=sqrt(1/(1/(First Base Edge of Trirectangular Tetrahedron^2-Second RA Edge of Trirectangular Tetrahedron^2)+1/Second RA Edge of Trirectangular Tetrahedron^2+1/Third RA Edge of Trirectangular Tetrahedron^2))
Height of Trirectangular Tetrahedron=sqrt(1/(1/(Third Base Edge of Trirectangular Tetrahedron^2-Third RA Edge of Trirectangular Tetrahedron^2)+1/Second RA Edge of Trirectangular Tetrahedron^2+1/Third RA Edge of Trirectangular Tetrahedron^2))
Height of Trirectangular Tetrahedron=sqrt(1/(1/(Second Base Edge of Trirectangular Tetrahedron^2-Third RA Edge of Trirectangular Tetrahedron^2)+1/First RA Edge of Trirectangular Tetrahedron^2+1/Third RA Edge of Trirectangular Tetrahedron^2))

Can the Height of Trirectangular Tetrahedron be negative?

No, the Height of Trirectangular Tetrahedron, measured in Length cannot be negative.

Which unit is used to measure Height of Trirectangular Tetrahedron?

Height of Trirectangular Tetrahedron is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Trirectangular Tetrahedron can be measured.

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Height of Trirectangular Tetrahedron Formula

​GoHeight of Trirectangular Tetrahedron given First Base and Second Right Angle Edge Formula

​GoHeight of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge Formula

Height of Trirectangular Tetrahedron Example

Height of Trirectangular Tetrahedron Solution

Height of Trirectangular Tetrahedron Formula Elements

Other Formulas to find Height of Trirectangular Tetrahedron

How to Evaluate Height of Trirectangular Tetrahedron?

FAQs on Height of Trirectangular Tetrahedron

Variable Name

GoHeight of Trirectangular Tetrahedron given First Base and Second Right Angle Edge Formula

GoHeight of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge Formula