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Third Base Edge Of Trirectangular Tetrahedron Given First Base Edge Calculator

Formula Used:

\[ \text{Third Base Edge} = \sqrt{\text{Third RA Edge}^2 + \text{First Base Edge}^2 - \text{Second RA Edge}^2} \]

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1. What is the Third Base Edge of Trirectangular Tetrahedron?

The Third Base Edge of a Trirectangular Tetrahedron is the third edge out of the three edges of the base acute triangular face of the Trirectangular Tetrahedron. It is calculated using the relationship between the mutually perpendicular edges and the base edges.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Third Base Edge} = \sqrt{\text{Third RA Edge}^2 + \text{First Base Edge}^2 - \text{Second RA Edge}^2} \]

Where:

Explanation: This formula derives from the geometric properties of the trirectangular tetrahedron and the Pythagorean theorem applied to the spatial relationships between edges.

3. Importance of Third Base Edge Calculation

Details: Calculating the third base edge is essential for determining the complete geometry of a trirectangular tetrahedron, which has applications in crystallography, structural engineering, and 3D modeling.

4. Using the Calculator

Tips: Enter all three required edge lengths in meters. All values must be positive numbers. The calculator will compute the third base edge using the geometric relationship between these edges.

5. Frequently Asked Questions (FAQ)

Q1: What is a trirectangular tetrahedron?
A: A trirectangular tetrahedron is a tetrahedron where three faces meet at right angles at one vertex.

Q2: Why is this calculation important?
A: It helps complete the geometric description of the tetrahedron when three related edges are known.

Q3: What units should I use?
A: The calculator uses meters, but any consistent unit of length can be used as long as all inputs are in the same unit.

Q4: Are there limitations to this formula?
A: This formula applies specifically to trirectangular tetrahedrons with the given edge relationships.

Q5: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values with up to 4 decimal places precision.

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