1. What is the Diagonal of a Rectangle?

The diagonal of a rectangle is the straight line connecting two opposite corners. It divides the rectangle into two congruent right triangles and can be calculated using the Pythagorean theorem.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

• \( Length \) — The longer side of the rectangle (m)
• \( Width \) — The shorter side of the rectangle (m)

Explanation: The formula is derived from the Pythagorean theorem, where the diagonal represents the hypotenuse of a right triangle formed by the length and width.

3. Importance of Diagonal Calculation

Details: Calculating the diagonal is important in various fields including construction, design, and geometry. It helps determine the longest straight-line distance within a rectangular space.

4. Using the Calculator

Tips: Enter both length and width in meters. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Can I use different units of measurement?
A: Yes, as long as both length and width are in the same units, the diagonal will be in those same units.

Q2: Does this work for squares?
A: Yes, for squares where length equals width, the formula simplifies to \( Diagonal = side \times \sqrt{2} \).

Q3: How accurate is this calculation?
A: The calculation is mathematically precise for perfect rectangles. Real-world applications may require considering material thickness or other factors.

Q4: Can this formula be used for 3D objects?
A: No, this formula is specifically for 2D rectangles. For 3D rectangular prisms, you would need to calculate the space diagonal using \( \sqrt{Length^2 + Width^2 + Height^2} \).

Q5: What if my rectangle has decimal measurements?
A: The calculator handles decimal values precisely, allowing for accurate calculations with fractional measurements.