Short Rectangle Side of Cut Rectangle Given All Other Sides Calculator

Formula Used:

\[ SShort = SShort Cut + \sqrt{SSlant^2 - (SLong - SLong Cut)^2} \]

Short Cut Side of Cut Rectangle (SShort Cut):

Slant Side of Cut Rectangle (SSlant):

Long Rectangle Side of Cut Rectangle (SLong):

Long Cut Side of Cut Rectangle (SLong Cut):

Short Rectangle Side of Cut Rectangle (SShort):

Unit Converter ▲

Unit Converter ▼

From:	To:

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

The Short Rectangle Side of Cut Rectangle is the breadth of the rectangle from which the Cut Rectangle shape forms. It represents the original width of the rectangle before a portion was removed to create the cut rectangle shape.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ SShort = SShort Cut + \sqrt{SSlant^2 - (SLong - SLong Cut)^2} \]

Where:

\( SShort \) — Short Rectangle Side of Cut Rectangle (m)
\( SShort Cut \) — Short Cut Side of Cut Rectangle (m)
\( SSlant \) — Slant Side of Cut Rectangle (m)
\( SLong \) — Long Rectangle Side of Cut Rectangle (m)
\( SLong Cut \) — Long Cut Side of Cut Rectangle (m)

Explanation: This formula calculates the original short side of a rectangle after a triangular portion has been removed, using the Pythagorean theorem to determine the missing dimension.

3. Importance of the Calculation

Details: This calculation is important in geometry, architecture, and engineering when working with cut rectangular shapes. It helps determine original dimensions from remaining portions after cuts have been made.

4. Using the Calculator

Tips: Enter all measurements in meters. Ensure that SLong is greater than or equal to SLong Cut, and that SSlant is sufficiently long to form a valid triangle with the difference between SLong and SLong Cut.

5. Frequently Asked Questions (FAQ)

Q1: What if I get a negative value under the square root?
A: This indicates invalid input values. The slant side must be long enough to connect the cut points. Check that SSlant² ≥ (SLong - SLong Cut)².

Q2: Can this calculator handle decimal values?
A: Yes, the calculator accepts and calculates with decimal values for precise measurements.

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

Q4: What is the practical application of this calculation?
A: This is useful in construction, manufacturing, and design where rectangular materials are cut at an angle and the original dimensions need to be determined.

Q5: How accurate is the calculation?
A: The calculation is mathematically precise based on the input values. The accuracy depends on the precision of your measurements.