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

STEP 0: Pre-Calculation Summary
Formula Used
Second RA Edge of Trirectangular Tetrahedron = ((2*Total Surface Area of Trirectangular Tetrahedron)-(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron))/(First RA Edge of Trirectangular Tetrahedron+Third RA Edge of Trirectangular Tetrahedron+(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron)
le(Right2) = ((2*TSA)-(le(Right1)*le(Right3)))/(le(Right1)+le(Right3)+(le(Right1)*le(Right3))/h)
This formula uses 5 Variables
Variables Used
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.
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.
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.
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
First RA Edge of Trirectangular Tetrahedron: 8 Meter --> 8 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
le(Right2) = ((2*TSA)-(le(Right1)*le(Right3)))/(le(Right1)+le(Right3)+(le(Right1)*le(Right3))/h) --> ((2*190)-(8*10))/(8+10+(8*10)/5)
Evaluating ... ...
le(Right2) = 8.82352941176471
STEP 3: Convert Result to Output's Unit
8.82352941176471 Meter --> No Conversion Required
FINAL ANSWER
8.82352941176471 8.823529 Meter <-- Second RA Edge of Trirectangular Tetrahedron
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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4 Second Right Angle Edge of Trirectangular Tetrahedron Calculators

Second Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area
Go Second RA Edge of Trirectangular Tetrahedron = ((2*Total Surface Area of Trirectangular Tetrahedron)-(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron))/(First RA Edge of Trirectangular Tetrahedron+Third RA Edge of Trirectangular Tetrahedron+(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron)
Second Right Angle Edge of Trirectangular Tetrahedron given Volume
Go Second RA Edge of Trirectangular Tetrahedron = (6*Volume of Trirectangular Tetrahedron)/(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)
Second Right Angle Edge of Trirectangular Tetrahedron given Second Base and Third Right Angle Edge
Go Second RA Edge of Trirectangular Tetrahedron = sqrt(Second Base Edge of Trirectangular Tetrahedron^2-Third RA Edge of Trirectangular Tetrahedron^2)
Second Right Angle Edge of Trirectangular Tetrahedron given First Base and First Right Angle Edge
Go Second RA Edge of Trirectangular Tetrahedron = sqrt(First Base Edge of Trirectangular Tetrahedron^2-First RA Edge of Trirectangular Tetrahedron^2)

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

Second RA Edge of Trirectangular Tetrahedron = ((2*Total Surface Area of Trirectangular Tetrahedron)-(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron))/(First RA Edge of Trirectangular Tetrahedron+Third RA Edge of Trirectangular Tetrahedron+(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron)
le(Right2) = ((2*TSA)-(le(Right1)*le(Right3)))/(le(Right1)+le(Right3)+(le(Right1)*le(Right3))/h)

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

Second Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area calculator uses Second RA Edge of Trirectangular Tetrahedron = ((2*Total Surface Area of Trirectangular Tetrahedron)-(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron))/(First RA Edge of Trirectangular Tetrahedron+Third RA Edge of Trirectangular Tetrahedron+(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron) to calculate the Second RA Edge of Trirectangular Tetrahedron, Second Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area formula is defined as the second edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron, calculated using the total surface area of Trirectangular Tetrahedron. Second RA Edge of Trirectangular Tetrahedron is denoted by le(Right2) symbol.

How to calculate Second Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area using this online calculator? To use this online calculator for Second Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area, enter Total Surface Area of Trirectangular Tetrahedron (TSA), First RA Edge of Trirectangular Tetrahedron (le(Right1)), Third RA Edge of Trirectangular Tetrahedron (le(Right3)) & Height of Trirectangular Tetrahedron (h) and hit the calculate button. Here is how the Second Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area calculation can be explained with given input values -> 8.823529 = ((2*190)-(8*10))/(8+10+(8*10)/5).

FAQ

What is Second Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area?
Second Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area formula is defined as the second 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 le(Right2) = ((2*TSA)-(le(Right1)*le(Right3)))/(le(Right1)+le(Right3)+(le(Right1)*le(Right3))/h) or Second RA Edge of Trirectangular Tetrahedron = ((2*Total Surface Area of Trirectangular Tetrahedron)-(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron))/(First RA Edge of Trirectangular Tetrahedron+Third RA Edge of Trirectangular Tetrahedron+(First 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, First RA Edge of Trirectangular Tetrahedron is the first 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 Second Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area?
Second Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area formula is defined as the second edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron, calculated using the total surface area of Trirectangular Tetrahedron is calculated using Second RA Edge of Trirectangular Tetrahedron = ((2*Total Surface Area of Trirectangular Tetrahedron)-(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron))/(First RA Edge of Trirectangular Tetrahedron+Third RA Edge of Trirectangular Tetrahedron+(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron). To calculate Second Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area, you need Total Surface Area of Trirectangular Tetrahedron (TSA), First RA Edge of Trirectangular Tetrahedron (le(Right1)), Third RA Edge of Trirectangular Tetrahedron (le(Right3)) & Height of Trirectangular Tetrahedron (h). With our tool, you need to enter the respective value for Total Surface Area of Trirectangular Tetrahedron, First 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 Second RA Edge of Trirectangular Tetrahedron?
In this formula, Second RA Edge of Trirectangular Tetrahedron uses Total Surface Area of Trirectangular Tetrahedron, First 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 -
  • Second RA Edge of Trirectangular Tetrahedron = sqrt(Second Base Edge of Trirectangular Tetrahedron^2-Third RA Edge of Trirectangular Tetrahedron^2)
  • Second RA Edge of Trirectangular Tetrahedron = sqrt(First Base Edge of Trirectangular Tetrahedron^2-First RA Edge of Trirectangular Tetrahedron^2)
  • Second RA Edge of Trirectangular Tetrahedron = (6*Volume of Trirectangular Tetrahedron)/(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)
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