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Edge Length of Elongated Triangular Bipyramid given Height Calculator

Formula Used:

\[ Edge\ Length = \frac{Height}{\frac{2\sqrt{6}}{3} + 1} \]

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1. What is the Edge Length of Elongated Triangular Bipyramid?

The edge length of an elongated triangular bipyramid is the measurement of any of its edges. This geometric shape consists of two triangular pyramids (bipyramid) with a triangular prism inserted between them, elongating the structure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Edge\ Length = \frac{Height}{\frac{2\sqrt{6}}{3} + 1} \]

Where:

Explanation: This formula calculates the edge length based on the known height of the elongated triangular bipyramid, using the geometric relationship between these two measurements.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for understanding the dimensions and proportions of the elongated triangular bipyramid, which is important in various fields including geometry, architecture, and material science.

4. Using the Calculator

Tips: Enter the height of the elongated triangular bipyramid in meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is an elongated triangular bipyramid?
A: An elongated triangular bipyramid is a polyhedron formed by inserting a triangular prism between two triangular pyramids, creating an elongated structure with triangular faces.

Q2: How many edges does an elongated triangular bipyramid have?
A: An elongated triangular bipyramid has 15 edges in total.

Q3: What are the applications of this shape?
A: This geometric shape is studied in mathematics and has applications in crystallography, architecture, and molecular geometry.

Q4: Can this formula be used for other bipyramids?
A: No, this specific formula applies only to elongated triangular bipyramids. Other bipyramids have different geometric relationships.

Q5: What is the precision of this calculation?
A: The calculator provides results with up to 10 decimal places for high precision in geometric calculations.

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