Long Cut Side of Cut Rectangle Given All Other Sides Calculator

Formula Used:

\[ \text{Long Cut Side of Cut Rectangle} = \text{Long Rectangle Side of Cut Rectangle} - \sqrt{\text{Slant Side of Cut Rectangle}^2 - (\text{Short Rectangle Side of Cut Rectangle} - \text{Short Cut Side of Cut Rectangle})^2} \]

Long Rectangle Side of Cut Rectangle:

Slant Side of Cut Rectangle:

Short Rectangle Side of Cut Rectangle:

Short Cut Side of Cut Rectangle:

Long Cut Side of Cut Rectangle:

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1. What is Long Cut Side of Cut Rectangle?

The Long Cut Side of Cut Rectangle is the remaining length of the rectangle after removing the cut portion from the longer side. It represents the intact portion of the original rectangle's length after a triangular or slanted cut has been made.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Long Cut Side} = \text{Long Rectangle Side} - \sqrt{\text{Slant Side}^2 - (\text{Short Rectangle Side} - \text{Short Cut Side})^2} \]

Where:

Long Rectangle Side — Original length of the rectangle (m)
Slant Side — Length of the slanted cut (m)
Short Rectangle Side — Original width/breadth of the rectangle (m)
Short Cut Side — Remaining width after the cut (m)

Explanation: This formula calculates the remaining length on the longer side after a slanted cut has been made, using the Pythagorean theorem to determine the horizontal component of the slanted cut.

3. Importance of Calculation

Details: Calculating the long cut side is essential in geometry, construction, and manufacturing where precise measurements of cut rectangular shapes are required. It helps determine the remaining usable material after cutting operations.

4. Using the Calculator

Tips: Enter all measurements in meters. Ensure that the slant side is longer than the difference between short rectangle side and short cut side to maintain mathematical validity. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What if the calculated value is negative?
A: A negative result indicates that the input values are inconsistent with a valid cut rectangle geometry. Check your measurements, particularly ensuring the slant side is sufficiently long.

Q2: Can this formula be used for any type of cut?
A: This formula specifically applies to straight slanted cuts where the cut forms a right triangle with the rectangle's sides.

Q3: What units should I use?
A: The calculator uses meters, but you can use any consistent unit of measurement as long as all inputs use the same unit.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values. Accuracy depends on the precision of your measurements.

Q5: Can this be used for 3D objects?
A: This formula is designed for 2D rectangular cuts. For 3D objects, additional calculations would be needed.