First Base Edge of Trirectangular Tetrahedron given Second Base Edge Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
le(Base1) = sqrt(le(Right1)^2+le(Base2)^2-le(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.
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 Base Edge of Trirectangular Tetrahedron - (Measured in Meter) - Second Base Edge of Trirectangular Tetrahedron is the second 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
First RA Edge of Trirectangular Tetrahedron: 8 Meter --> 8 Meter No Conversion Required
Second Base Edge of Trirectangular Tetrahedron: 14 Meter --> 14 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
le(Base1) = sqrt(le(Right1)^2+le(Base2)^2-le(Right3)^2) --> sqrt(8^2+14^2-10^2)
Evaluating ... ...
le(Base1) = 12.6491106406735
STEP 3: Convert Result to Output's Unit
12.6491106406735 Meter --> No Conversion Required
FINAL ANSWER
12.6491106406735 12.64911 Meter <-- First Base Edge of Trirectangular Tetrahedron
(Calculation completed in 00.004 seconds)

Credits

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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7 Base Length of Trirectangular Tetrahedron Calculators

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

First Base Edge of Trirectangular Tetrahedron given Second Base Edge Formula

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)
le(Base1) = sqrt(le(Right1)^2+le(Base2)^2-le(Right3)^2)

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 Second Base Edge?

First Base Edge of Trirectangular Tetrahedron given Second Base Edge calculator uses 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) to calculate the First Base Edge of Trirectangular Tetrahedron, First Base Edge of Trirectangular Tetrahedron given Second 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 second base edge of Trirectangular Tetrahedron. First Base Edge of Trirectangular Tetrahedron is denoted by le(Base1) symbol.

How to calculate First Base Edge of Trirectangular Tetrahedron given Second Base Edge using this online calculator? To use this online calculator for First Base Edge of Trirectangular Tetrahedron given Second Base Edge, enter First RA Edge of Trirectangular Tetrahedron (le(Right1)), Second Base Edge of Trirectangular Tetrahedron (le(Base2)) & Third RA Edge of Trirectangular Tetrahedron (le(Right3)) and hit the calculate button. Here is how the First Base Edge of Trirectangular Tetrahedron given Second Base Edge calculation can be explained with given input values -> 12.64911 = sqrt(8^2+14^2-10^2).

FAQ

What is First Base Edge of Trirectangular Tetrahedron given Second Base Edge?
First Base Edge of Trirectangular Tetrahedron given Second 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 second base edge of Trirectangular Tetrahedron and is represented as le(Base1) = sqrt(le(Right1)^2+le(Base2)^2-le(Right3)^2) or 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 RA Edge of Trirectangular Tetrahedron is the first edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron, Second Base Edge of Trirectangular Tetrahedron is the second 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 Second Base Edge?
First Base Edge of Trirectangular Tetrahedron given Second 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 second base edge of Trirectangular Tetrahedron is calculated using 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). To calculate First Base Edge of Trirectangular Tetrahedron given Second Base Edge, you need First RA Edge of Trirectangular Tetrahedron (le(Right1)), Second Base Edge of Trirectangular Tetrahedron (le(Base2)) & Third RA Edge of Trirectangular Tetrahedron (le(Right3)). With our tool, you need to enter the respective value for First RA Edge of Trirectangular Tetrahedron, Second 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 First RA Edge of Trirectangular Tetrahedron, Second 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(Second RA Edge of Trirectangular Tetrahedron^2+Third Base Edge of Trirectangular Tetrahedron^2-Third RA Edge of Trirectangular Tetrahedron^2)
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