Short Cut Side of Cut Rectangle Given All Other Sides Calculator

Formula Used:

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

Short Rectangle Side (SShort):

Slant Side (SSlant):

Long Rectangle Side (SLong):

Long Cut Side (SLong Cut):

Short Cut Side (SShort Cut):

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1. What is the Short Cut Side of Cut Rectangle?

The Short Cut Side of Cut Rectangle is the remaining length of breadth of the rectangle from which the Cut Rectangle shape forms, after removing the cut portion. It represents the shorter dimension of the remaining rectangular section.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Short Rectangle Side — The breadth of the original rectangle (m)
Slant Side — The length of the slant formed after removing the cut portion (m)
Long Rectangle Side — The length of the original rectangle (m)
Long Cut Side — The remaining length of the rectangle after removing the cut portion (m)

Explanation: This formula calculates the remaining short side length after a rectangular cut is made, using the Pythagorean theorem to determine the relationship between the sides.

3. Importance of Short Cut Side Calculation

Details: Calculating the short cut side is essential in geometry, construction, and manufacturing applications where precise measurements of remaining material after cutting operations are required.

4. Using the Calculator

Tips: Enter all side lengths in meters. Ensure all values are positive and the slant side is longer than the difference between long rectangle side and long cut side for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is a Cut Rectangle?
A: A Cut Rectangle is a geometric shape formed by removing a rectangular portion from a larger rectangle, resulting in an L-shaped or irregular rectangular form.

Q2: When is this calculation useful?
A: This calculation is useful in construction, woodworking, metal fabrication, and any application where material is removed from rectangular sheets or blocks.

Q3: What are the measurement units?
A: The calculator uses meters as the default unit, but the same formula applies to any consistent unit of measurement.

Q4: What if the result is negative?
A: A negative result indicates invalid input values where the geometry described is not physically possible with the given dimensions.

Q5: Can this formula be used for 3D objects?
A: This specific formula applies to 2D rectangles. For 3D objects, additional calculations considering depth would be required.