Home
Back
Formula Used:
| From: | To: |
The Missing Length of Truncated Square refers to the measurement of the missing edges when a square is truncated (cut off) at its corners. It helps in determining the original dimensions and understanding the geometric properties of the truncated shape.
The calculator uses the formula:
Where:
Explanation: The formula derives from the Pythagorean theorem applied to the right triangles formed by the truncation, solving for the missing segment length.
Details: Calculating the missing length is essential for reconstructing the original square, determining area and perimeter changes, and applications in design and architecture where truncated shapes are used.
Tips: Enter the diagonal and side lengths in meters. Ensure the diagonal is greater than the side for valid results. Both values must be positive numbers.
Q1: What if the diagonal is less than or equal to the side?
A: The formula requires the diagonal to be greater than the side to yield a real number result. If not, it indicates invalid input for a truncated square.
Q2: Can this calculator handle different units?
A: The calculator assumes meters, but you can use any consistent unit (e.g., cm, mm) as long as both inputs are in the same unit.
Q3: How accurate is the calculation?
A: The calculation is mathematically exact based on the inputs. The result is rounded to four decimal places for practicality.
Q4: What is the geometric significance of the missing length?
A: It represents the length of the segments removed from the corners of the original square to form the truncated square.
Q5: Are there other methods to find the missing length?
A: Yes, it can also be derived using trigonometric relationships or by considering the properties of similar triangles formed during truncation.