First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area Calculator

✖Total Surface Area of Trirectangular Tetrahedron is the total quantity of plane enclosed by the entire surface of the Trirectangular Tetrahedron.ⓘ Total Surface Area of Trirectangular Tetrahedron [TSA]			+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%
✖Third RA Edge of Trirectangular Tetrahedron is the third edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.ⓘ Third RA Edge of Trirectangular Tetrahedron [l_e(Right3)]			+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 [h]			+10% -10%

✖First RA Edge of Trirectangular Tetrahedron is the first edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.ⓘ First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area [l_e(Right1)]

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First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

First RA Edge of Trirectangular Tetrahedron = ((2*Total Surface Area of Trirectangular Tetrahedron)-(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron))/(Second RA Edge of Trirectangular Tetrahedron+Third RA Edge of Trirectangular Tetrahedron+(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron)
l_e(Right1) = ((2*TSA)-(l_e(Right2)*l_e(Right3)))/(l_e(Right2)+l_e(Right3)+(l_e(Right2)*l_e(Right3))/h)
This formula uses 5 Variables

Variables Used

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.
Total Surface Area of Trirectangular Tetrahedron - (Measured in Square Meter) - Total Surface Area of Trirectangular Tetrahedron is the total quantity of plane enclosed by the entire surface 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.
Third RA Edge of Trirectangular Tetrahedron - (Measured in Meter) - Third RA Edge of Trirectangular Tetrahedron is the third edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.
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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Trirectangular Tetrahedron: 190 Square Meter --> 190 Square Meter No Conversion Required
Second RA Edge of Trirectangular Tetrahedron: 9 Meter --> 9 Meter No Conversion Required
Third RA Edge of Trirectangular Tetrahedron: 10 Meter --> 10 Meter No Conversion Required
Height of Trirectangular Tetrahedron: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Right1) = ((2*TSA)-(l_e(Right2)*l_e(Right3)))/(l_e(Right2)+l_e(Right3)+(l_e(Right2)*l_e(Right3))/h) --> ((2*190)-(9*10))/(9+10+(9*10)/5)

Evaluating ... ...

l_e(Right1) = 7.83783783783784

STEP 3: Convert Result to Output's Unit

7.83783783783784 Meter --> No Conversion Required

FINAL ANSWER

7.83783783783784 ≈ 7.837838 Meter <-- First RA Edge of Trirectangular Tetrahedron

(Calculation completed in 00.007 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< First Right Angle Edge of Trirectangular Tetrahedron Calculators

First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area

LaTeX Go First RA Edge of Trirectangular Tetrahedron = ((2*Total Surface Area of Trirectangular Tetrahedron)-(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron))/(Second RA Edge of Trirectangular Tetrahedron+Third RA Edge of Trirectangular Tetrahedron+(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron)

First Right Angle Edge of Trirectangular Tetrahedron given Volume

LaTeX Go First RA Edge of Trirectangular Tetrahedron = (6*Volume of Trirectangular Tetrahedron)/(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)

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

LaTeX Go First RA Edge of Trirectangular Tetrahedron = sqrt(First Base Edge of Trirectangular Tetrahedron^2-Second RA Edge of Trirectangular Tetrahedron^2)

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

LaTeX Go First RA Edge of Trirectangular Tetrahedron = sqrt(Third Base Edge of Trirectangular Tetrahedron^2-Third RA Edge of Trirectangular Tetrahedron^2)

First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area Formula

LaTeX Go

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 First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area?

First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area calculator uses First RA Edge of Trirectangular Tetrahedron = ((2*Total Surface Area of Trirectangular Tetrahedron)-(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron))/(Second RA Edge of Trirectangular Tetrahedron+Third RA Edge of Trirectangular Tetrahedron+(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron) to calculate the First RA Edge of Trirectangular Tetrahedron, First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area formula is defined as the first edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron, calculated using the total surface area of Trirectangular Tetrahedron. First RA Edge of Trirectangular Tetrahedron is denoted by l_e(Right1) symbol.

How to calculate First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area using this online calculator? To use this online calculator for First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area, enter Total Surface Area of Trirectangular Tetrahedron (TSA), Second RA Edge of Trirectangular Tetrahedron (l_e(Right2)), Third RA Edge of Trirectangular Tetrahedron (l_e(Right3)) & Height of Trirectangular Tetrahedron (h) and hit the calculate button. Here is how the First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area calculation can be explained with given input values -> 7.837838 = ((2*190)-(9*10))/(9+10+(9*10)/5).

FAQ

What is First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area?

First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area formula is defined as the first edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron, calculated using the total surface area of Trirectangular Tetrahedron and is represented as l_e(Right1) = ((2*TSA)-(l_e(Right2)*l_e(Right3)))/(l_e(Right2)+l_e(Right3)+(l_e(Right2)*l_e(Right3))/h) or First RA Edge of Trirectangular Tetrahedron = ((2*Total Surface Area of Trirectangular Tetrahedron)-(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron))/(Second RA Edge of Trirectangular Tetrahedron+Third RA Edge of Trirectangular Tetrahedron+(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron). Total Surface Area of Trirectangular Tetrahedron is the total quantity of plane enclosed by the entire surface 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, Third RA Edge of Trirectangular Tetrahedron is the third edge out of the three mutually perpendicular edges of the 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.

How to calculate First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area?

First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area formula is defined as the first edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron, calculated using the total surface area of Trirectangular Tetrahedron is calculated using First RA Edge of Trirectangular Tetrahedron = ((2*Total Surface Area of Trirectangular Tetrahedron)-(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron))/(Second RA Edge of Trirectangular Tetrahedron+Third RA Edge of Trirectangular Tetrahedron+(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron). To calculate First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area, you need Total Surface Area of Trirectangular Tetrahedron (TSA), Second RA Edge of Trirectangular Tetrahedron (l_e(Right2)), Third RA Edge of Trirectangular Tetrahedron (l_e(Right3)) & Height of Trirectangular Tetrahedron (h). With our tool, you need to enter the respective value for Total Surface Area of Trirectangular Tetrahedron, Second RA Edge of Trirectangular Tetrahedron, Third RA Edge of Trirectangular Tetrahedron & Height 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 First RA Edge of Trirectangular Tetrahedron?

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

First RA Edge of Trirectangular Tetrahedron = sqrt(First Base Edge of Trirectangular Tetrahedron^2-Second RA Edge of Trirectangular Tetrahedron^2)
First RA Edge of Trirectangular Tetrahedron = sqrt(Third Base Edge of Trirectangular Tetrahedron^2-Third RA Edge of Trirectangular Tetrahedron^2)
First RA Edge of Trirectangular Tetrahedron = (6*Volume of Trirectangular Tetrahedron)/(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)

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