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

✖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.ⓘ Third Base Edge of Trirectangular Tetrahedron [l_e(Base3)]			+10% -10%
✖First RA Edge of Trirectangular Tetrahedron is the first edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.ⓘ First RA Edge of Trirectangular Tetrahedron [l_e(Right1)]			+10% -10%
✖Second RA Edge of Trirectangular Tetrahedron is the second edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.ⓘ Second RA Edge of Trirectangular Tetrahedron [l_e(Right2)]			+10% -10%

✖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.ⓘ Height of Trirectangular Tetrahedron given Third Base and First Right Angle Edge [h]

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

STEP 0: Pre-Calculation Summary

Formula Used

Height of Trirectangular Tetrahedron = sqrt(1/(1/(Third Base Edge of Trirectangular Tetrahedron^2-First RA Edge of Trirectangular Tetrahedron^2)+1/First RA Edge of Trirectangular Tetrahedron^2+1/Second RA Edge of Trirectangular Tetrahedron^2))
h = sqrt(1/(1/(l_e(Base3)^2-l_e(Right1)^2)+1/l_e(Right1)^2+1/l_e(Right2)^2))
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Height of Trirectangular Tetrahedron - (Measured in Meter) - 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.
Third Base Edge of Trirectangular Tetrahedron - (Measured in Meter) - 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.
First RA Edge of Trirectangular Tetrahedron - (Measured in Meter) - First RA Edge of Trirectangular Tetrahedron is the first edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.
Second RA Edge of Trirectangular Tetrahedron - (Measured in Meter) - Second RA Edge of Trirectangular Tetrahedron is the second edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Third Base Edge of Trirectangular Tetrahedron: 13 Meter --> 13 Meter No Conversion Required
First RA Edge of Trirectangular Tetrahedron: 8 Meter --> 8 Meter No Conversion Required
Second RA Edge of Trirectangular Tetrahedron: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(1/(1/(l_e(Base3)^2-l_e(Right1)^2)+1/l_e(Right1)^2+1/l_e(Right2)^2)) --> sqrt(1/(1/(13^2-8^2)+1/8^2+1/9^2))

Evaluating ... ...

h = 5.16435731780376

STEP 3: Convert Result to Output's Unit

5.16435731780376 Meter --> No Conversion Required

FINAL ANSWER

5.16435731780376 ≈ 5.164357 Meter <-- Height of Trirectangular Tetrahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Height of Trirectangular Tetrahedron Calculators

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

LaTeX Go 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 given Second Base and Third Right Angle Edge

LaTeX Go 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))

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

LaTeX Go 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

LaTeX Go 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 given Third Base and First Right Angle Edge Formula

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What is a Trirectangular Tetrahedron?

In geometry, a Trirectangular Tetrahedron is a tetrahedron where all three face angles at one vertex are right angles. That vertex is called the right angle of the trirectangular tetrahedron and the face opposite it is called the base. The three edges that meet at the right angle are called the legs and the perpendicular from the right angle to the base is called the altitude of the tetrahedron.

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

Height of Trirectangular Tetrahedron given Third Base and First Right Angle Edge calculator uses Height of Trirectangular Tetrahedron = sqrt(1/(1/(Third Base Edge of Trirectangular Tetrahedron^2-First RA Edge of Trirectangular Tetrahedron^2)+1/First RA Edge of Trirectangular Tetrahedron^2+1/Second RA Edge of Trirectangular Tetrahedron^2)) to calculate the Height of Trirectangular Tetrahedron, Height of Trirectangular Tetrahedron given Third Base and First 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, first right angle edge and second right angle edge of Trirectangular Tetrahedron. Height of Trirectangular Tetrahedron is denoted by h symbol.

How to calculate Height of Trirectangular Tetrahedron given Third Base and First Right Angle Edge using this online calculator? To use this online calculator for Height of Trirectangular Tetrahedron given Third Base and First Right Angle Edge, enter Third Base Edge of Trirectangular Tetrahedron (l_e(Base3)), First RA Edge of Trirectangular Tetrahedron (l_e(Right1)) & Second RA Edge of Trirectangular Tetrahedron (l_e(Right2)) and hit the calculate button. Here is how the Height of Trirectangular Tetrahedron given Third Base and First Right Angle Edge calculation can be explained with given input values -> 5.164357 = sqrt(1/(1/(13^2-8^2)+1/8^2+1/9^2)).

FAQ

What is Height of Trirectangular Tetrahedron given Third Base and First Right Angle Edge?

Height of Trirectangular Tetrahedron given Third Base and First 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, first right angle edge and second right angle edge of Trirectangular Tetrahedron and is represented as h = sqrt(1/(1/(l_e(Base3)^2-l_e(Right1)^2)+1/l_e(Right1)^2+1/l_e(Right2)^2)) or Height of Trirectangular Tetrahedron = sqrt(1/(1/(Third Base Edge of Trirectangular Tetrahedron^2-First RA Edge of Trirectangular Tetrahedron^2)+1/First RA Edge of Trirectangular Tetrahedron^2+1/Second RA Edge of Trirectangular Tetrahedron^2)). 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, First RA Edge of Trirectangular Tetrahedron is the first edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron & Second RA Edge of Trirectangular Tetrahedron is the second edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.

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

Height of Trirectangular Tetrahedron given Third Base and First 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, first right angle edge and second right angle edge of Trirectangular Tetrahedron is calculated using Height of Trirectangular Tetrahedron = sqrt(1/(1/(Third Base Edge of Trirectangular Tetrahedron^2-First RA Edge of Trirectangular Tetrahedron^2)+1/First RA Edge of Trirectangular Tetrahedron^2+1/Second RA Edge of Trirectangular Tetrahedron^2)). To calculate Height of Trirectangular Tetrahedron given Third Base and First Right Angle Edge, you need Third Base Edge of Trirectangular Tetrahedron (l_e(Base3)), First RA Edge of Trirectangular Tetrahedron (l_e(Right1)) & Second RA Edge of Trirectangular Tetrahedron (l_e(Right2)). With our tool, you need to enter the respective value for Third Base Edge of Trirectangular Tetrahedron, First RA Edge of Trirectangular Tetrahedron & Second RA Edge of Trirectangular Tetrahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Height of Trirectangular Tetrahedron?

In this formula, Height of Trirectangular Tetrahedron uses Third Base Edge of Trirectangular Tetrahedron, First RA Edge of Trirectangular Tetrahedron & Second RA Edge of Trirectangular Tetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

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/(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))

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