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The Missing Length of Truncated Square refers to the measurement or extent of the missing edges when a square is truncated. It helps in determining the complete dimensions of the original square before truncation.
The calculator uses the formula:
Where:
Explanation: The formula calculates the missing length by dividing the truncated square's length by the square root of 2 and subtracting the side length of the truncated square.
Details: Calculating the missing length is crucial for reconstructing the original square dimensions, architectural planning, and geometric analysis where truncated shapes are involved.
Tips: Enter the length of the truncated square and the side length in meters. Both values must be positive numbers. The calculator will compute the missing length automatically.
Q1: What is a truncated square?
A: A truncated square is a square that has had its corners cut off, resulting in a shape with both square and triangular sections.
Q2: Why is the square root of 2 used in the formula?
A: The square root of 2 appears due to the 45-degree angles in the truncated sections, which creates right isosceles triangles with sides in 1:1:√2 ratio.
Q3: Can this formula be used for other shapes?
A: This specific formula applies only to truncated squares. Other truncated shapes require different geometric formulas.
Q4: What if the calculated missing length is negative?
A: A negative result indicates that the input values may be incorrect or that the truncated square cannot exist with those dimensions.
Q5: How accurate is this calculation?
A: The calculation is mathematically precise when using exact values. For practical applications, use appropriate significant figures based on measurement precision.