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The Truncated Side of Truncated Square is the truncated type of line segment joining two adjacent vertices of the Truncated Square. It represents the remaining side length after truncation of the original square.
The calculator uses the formula:
Where:
Explanation: The formula calculates the truncated side length by multiplying the missing length by the square root of 2, which is derived from the geometric properties of squares and their truncated versions.
Details: Calculating the truncated side is important in geometry and architectural design where truncated squares are used. It helps in determining the remaining dimensions and proportions of modified square shapes.
Tips: Enter the missing length of the truncated square in meters. The value must be positive and greater than zero for accurate calculation.
Q1: What is a truncated square?
A: A truncated square is a square that has had its corners cut off, creating a shape with both straight and angled sides.
Q2: Why is the square root of 2 used in this formula?
A: The square root of 2 appears because it represents the diagonal length of a unit square, which is fundamental to the geometric relationship between the missing length and the truncated side.
Q3: Can this formula be used for any truncated square?
A: This formula applies specifically to truncated squares where the truncation is symmetrical and follows the geometric properties that maintain the relationship between the missing length and truncated side.
Q4: What units should be used for input?
A: The calculator uses meters as the default unit, but the formula works with any consistent unit of measurement (cm, mm, inches, etc.).
Q5: How accurate is the calculation?
A: The calculation is mathematically exact when using the precise value of √2. The calculator provides results rounded to 6 decimal places for practical use.