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

h - Height of Trirectangular Tetrahedron?l_e(Base3) - Third Base Edge of Trirectangular Tetrahedron?l_e(Right3) - Third RA Edge of Trirectangular Tetrahedron?l_e(Right2) - Second RA Edge of Trirectangular Tetrahedron?

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

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Here is how the Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge equation looks like with Values.

Here is how the Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge equation looks like with Units.

Here is how the Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge equation looks like.

5.2101 = \sqrt{\frac{1}{\frac{1}{13^{2} - 10^{2}} + \frac{1}{9^{2}} + \frac{1}{10^{2}}}}

5.2101m = \sqrt{\frac{1}{\frac{1}{{13m}^{2} - {10m}^{2}} + \frac{1}{{9m}^{2}} + \frac{1}{{10m}^{2}}}}

5.2101 = \sqrt{\frac{1}{\frac{1}{13^{2} - 10^{2}} + \frac{1}{9^{2}} + \frac{1}{10^{2}}}}

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

Follow our step by step solution on how to calculate Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge?

FIRST Step Consider the formula

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}}}}

Next Step Substitute values of Variables

∴

h = \sqrt{\frac{1}{\frac{1}{{13m}^{2} - {10m}^{2}} + \frac{1}{{9m}^{2}} + \frac{1}{{10m}^{2}}}}

Next Step Prepare to Evaluate

∴

h = \sqrt{\frac{1}{\frac{1}{13^{2} - 10^{2}} + \frac{1}{9^{2}} + \frac{1}{10^{2}}}}

Next Step Evaluate

∴

h = 5.21014041699422m

LAST Step Rounding Answer

∴

h = 5.2101m

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

Third Base Edge of Trirectangular Tetrahedron

Third Base Edge of Trirectangular Tetrahedron is the third edge out of the three edges of the base acute triangular face of the Trirectangular Tetrahedron.

Symbol: l_e(Base3)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Third Base 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

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

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

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

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 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 given Third Base and Third Right Angle Edge?

Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge evaluator uses 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)) to evaluate the Height of Trirectangular Tetrahedron, Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge 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, calculated using the third base edge, second right angle edge and third right angle edge of Trirectangular Tetrahedron. Height of Trirectangular Tetrahedron is denoted by h symbol.

How to evaluate Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge using this online evaluator? To use this online evaluator for Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge, enter Third Base Edge of Trirectangular Tetrahedron (l_e(Base3)), Third RA Edge of Trirectangular Tetrahedron (l_e(Right3)) & Second RA Edge of Trirectangular Tetrahedron (l_e(Right2)) and hit the calculate button.

FAQs on Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge

What is the formula to find Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge?

The formula of Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge is expressed as 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)). Here is an example- 5.21014 = sqrt(1/(1/(13^2-10^2)+1/9^2+1/10^2)).

How to calculate Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge?

With Third Base Edge of Trirectangular Tetrahedron (l_e(Base3)), Third RA Edge of Trirectangular Tetrahedron (l_e(Right3)) & Second RA Edge of Trirectangular Tetrahedron (l_e(Right2)) we can find Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge using the formula - 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)). This formula also uses Square Root (sqrt) 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 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/(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/(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 given Third Base and Third Right Angle Edge be negative?

No, the Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge, measured in Length cannot be negative.

Which unit is used to measure Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge?

Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge 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 given Third Base and Third Right Angle Edge can be measured.

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

​GoHeight of Trirectangular Tetrahedron Formula

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

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

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

Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge Formula Elements

Other Formulas to find Height of Trirectangular Tetrahedron

How to Evaluate Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge?

FAQs on Height of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge

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GoHeight of Trirectangular Tetrahedron Formula

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