First Base Edge of Trirectangular Tetrahedron given Third Base Edge Calculator

✖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 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%
✖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%

✖First Base Edge of Trirectangular Tetrahedron is the first edge out of the three edges of the base acute triangular face of the Trirectangular Tetrahedron.ⓘ First Base Edge of Trirectangular Tetrahedron given Third Base Edge [l_e(Base1)]

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First Base Edge of Trirectangular Tetrahedron given Third Base Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

First Base Edge of Trirectangular Tetrahedron = sqrt(Second RA Edge of Trirectangular Tetrahedron^2+Third Base Edge of Trirectangular Tetrahedron^2-Third RA Edge of Trirectangular Tetrahedron^2)
l_e(Base1) = sqrt(l_e(Right2)^2+l_e(Base3)^2-l_e(Right3)^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

First Base Edge of Trirectangular Tetrahedron - (Measured in Meter) - First Base Edge of Trirectangular Tetrahedron is the first edge out of the three edges of the base acute triangular face 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 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.
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.

STEP 1: Convert Input(s) to Base Unit

Second RA Edge of Trirectangular Tetrahedron: 9 Meter --> 9 Meter No Conversion Required
Third Base Edge of Trirectangular Tetrahedron: 13 Meter --> 13 Meter No Conversion Required
Third RA Edge of Trirectangular Tetrahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Base1) = sqrt(l_e(Right2)^2+l_e(Base3)^2-l_e(Right3)^2) --> sqrt(9^2+13^2-10^2)

Evaluating ... ...

l_e(Base1) = 12.2474487139159

STEP 3: Convert Result to Output's Unit

12.2474487139159 Meter --> No Conversion Required

FINAL ANSWER

12.2474487139159 ≈ 12.24745 Meter <-- First Base Edge 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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< Base Length of Trirectangular Tetrahedron Calculators

First Base Edge of Trirectangular Tetrahedron given Second Base Edge

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

First Base Edge of Trirectangular Tetrahedron given Third Base Edge

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

Second Base Edge of Trirectangular Tetrahedron

LaTeX Go Second Base Edge of Trirectangular Tetrahedron = sqrt(Second RA Edge of Trirectangular Tetrahedron^2+Third RA Edge of Trirectangular Tetrahedron^2)

First Base Edge of Trirectangular Tetrahedron

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

First Base Edge of Trirectangular Tetrahedron given Third Base Edge 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 Base Edge of Trirectangular Tetrahedron given Third Base Edge?

First Base Edge of Trirectangular Tetrahedron given Third Base Edge calculator uses First Base Edge of Trirectangular Tetrahedron = sqrt(Second RA Edge of Trirectangular Tetrahedron^2+Third Base Edge of Trirectangular Tetrahedron^2-Third RA Edge of Trirectangular Tetrahedron^2) to calculate the First Base Edge of Trirectangular Tetrahedron, First Base Edge of Trirectangular Tetrahedron given Third Base Edge formula is defined as the first edge out of the three edges of the base acute triangular face of the Trirectangular Tetrahedron, calculated using the third base edge of Trirectangular Tetrahedron. First Base Edge of Trirectangular Tetrahedron is denoted by l_e(Base1) symbol.

How to calculate First Base Edge of Trirectangular Tetrahedron given Third Base Edge using this online calculator? To use this online calculator for First Base Edge of Trirectangular Tetrahedron given Third Base Edge, enter Second RA Edge of Trirectangular Tetrahedron (l_e(Right2)), Third Base Edge of Trirectangular Tetrahedron (l_e(Base3)) & Third RA Edge of Trirectangular Tetrahedron (l_e(Right3)) and hit the calculate button. Here is how the First Base Edge of Trirectangular Tetrahedron given Third Base Edge calculation can be explained with given input values -> 12.24745 = sqrt(9^2+13^2-10^2).

FAQ

What is First Base Edge of Trirectangular Tetrahedron given Third Base Edge?

First Base Edge of Trirectangular Tetrahedron given Third Base Edge formula is defined as the first edge out of the three edges of the base acute triangular face of the Trirectangular Tetrahedron, calculated using the third base edge of Trirectangular Tetrahedron and is represented as l_e(Base1) = sqrt(l_e(Right2)^2+l_e(Base3)^2-l_e(Right3)^2) or First Base Edge of Trirectangular Tetrahedron = sqrt(Second RA Edge of Trirectangular Tetrahedron^2+Third Base Edge of Trirectangular Tetrahedron^2-Third RA Edge of Trirectangular Tetrahedron^2). Second RA Edge of Trirectangular Tetrahedron is the second edge out of the three mutually perpendicular edges of the 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 & Third RA Edge of Trirectangular Tetrahedron is the third edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.

How to calculate First Base Edge of Trirectangular Tetrahedron given Third Base Edge?

First Base Edge of Trirectangular Tetrahedron given Third Base Edge formula is defined as the first edge out of the three edges of the base acute triangular face of the Trirectangular Tetrahedron, calculated using the third base edge of Trirectangular Tetrahedron is calculated using First Base Edge of Trirectangular Tetrahedron = sqrt(Second RA Edge of Trirectangular Tetrahedron^2+Third Base Edge of Trirectangular Tetrahedron^2-Third RA Edge of Trirectangular Tetrahedron^2). To calculate First Base Edge of Trirectangular Tetrahedron given Third Base Edge, you need Second RA Edge of Trirectangular Tetrahedron (l_e(Right2)), Third Base Edge of Trirectangular Tetrahedron (l_e(Base3)) & Third RA Edge of Trirectangular Tetrahedron (l_e(Right3)). With our tool, you need to enter the respective value for Second RA Edge of Trirectangular Tetrahedron, Third Base Edge of Trirectangular Tetrahedron & Third 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 First Base Edge of Trirectangular Tetrahedron?

In this formula, First Base Edge of Trirectangular Tetrahedron uses Second RA Edge of Trirectangular Tetrahedron, Third Base Edge of Trirectangular Tetrahedron & Third RA Edge of Trirectangular Tetrahedron. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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