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Edge Length of Elongated Triangular Pyramid given Height Calculator

Formula Used:

\[ l_e = \frac{h}{\frac{\sqrt{6}}{3} + 1} \]

m

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

The edge length of an elongated triangular pyramid is the measurement of any edge of this geometric solid. An elongated triangular pyramid is formed by attaching a triangular prism to the base of a triangular pyramid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_e = \frac{h}{\frac{\sqrt{6}}{3} + 1} \]

Where:

Explanation: This formula calculates the edge length based on the given height of the elongated triangular pyramid, using the mathematical relationship between these two dimensions.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for geometric analysis, construction planning, and understanding the spatial properties of elongated triangular pyramids in various applications.

4. Using the Calculator

Tips: Enter the height of the elongated triangular pyramid in meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is an elongated triangular pyramid?
A: An elongated triangular pyramid is a polyhedron formed by attaching a triangular prism to the base of a triangular pyramid, creating an extended geometric shape.

Q2: Why is this formula important?
A: This formula provides a mathematical relationship between the height and edge length, which is crucial for geometric calculations and practical applications.

Q3: What units should I use?
A: The calculator uses meters for both input and output, but you can use any consistent unit system as long as you maintain consistency.

Q4: Are there limitations to this formula?
A: This formula specifically applies to elongated triangular pyramids and assumes standard geometric proportions.

Q5: Can this calculator be used for other pyramid types?
A: No, this calculator is specifically designed for elongated triangular pyramids. Other pyramid types have different geometric relationships.

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