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Length of Truncated Square given Diagonal, Height and Missing Length Calculator

Formula Used:

\[ l = \sqrt{2} \times \left( \sqrt{d^2 - h^2} + l_{\text{Missing}} \right) \]

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1. What is the Length of Truncated Square?

The Length of Truncated Square is the measurement or extent of truncated square from end to end. It represents the complete length of the truncated square shape.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l = \sqrt{2} \times \left( \sqrt{d^2 - h^2} + l_{\text{Missing}} \right) \]

Where:

Explanation: The formula calculates the length by considering the geometric properties of the truncated square, including its diagonal, height, and missing length components.

3. Importance of Length Calculation

Details: Accurate length calculation is crucial for geometric analysis, architectural design, and engineering applications involving truncated square shapes.

4. Using the Calculator

Tips: Enter diagonal, height, and missing length values in meters. All values must be valid positive numbers (diagonal > 0, height > 0, missing length ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: What is a truncated square?
A: A truncated square is a square shape that has been cut or truncated, typically by removing corners or sections, resulting in a modified geometric form.

Q2: Why is the square root of 2 used in the formula?
A: The square root of 2 appears due to the geometric relationship between the sides and diagonal of a square, which is fundamental to square geometry.

Q3: What are typical applications of this calculation?
A: This calculation is used in architectural design, engineering projects, geometric analysis, and any application involving modified square shapes.

Q4: Are there limitations to this formula?
A: The formula assumes perfect geometric proportions and may not account for irregular truncations or three-dimensional considerations.

Q5: How precise should the input values be?
A: For accurate results, input values should be measured as precisely as possible, especially in engineering and architectural applications.

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