1. What is Rectangle Diagonal?

The diagonal of a rectangle is the straight line connecting two opposite corners. It divides the rectangle into two right-angled triangles.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

• \( Length \) — Longer side of the rectangle (meters)
• \( Width \) — Shorter side of the rectangle (meters)

Explanation: The formula comes from the Pythagorean theorem where the diagonal is the hypotenuse of a right-angled triangle formed by the length and width.

3. Importance of Diagonal Calculation

Details: Calculating the diagonal is important in construction, carpentry, screen size measurements, and various engineering applications where precise measurements are needed.

4. Using the Calculator

Tips: Enter both length and width in meters. All values must be positive numbers. The calculator will compute the diagonal length in meters.

5. Frequently Asked Questions (FAQ)

Q1: Does it matter which side is length and which is width?
A: No, the calculation is commutative - the order doesn't affect the result.

Q2: Can this be used for squares?
A: Yes, for squares where length equals width, the formula simplifies to \( side \times \sqrt{2} \).

Q3: What units does this calculator use?
A: The calculator uses meters, but the formula works with any consistent unit of measurement.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact for perfect rectangles. Accuracy depends on your measurement precision.

Q5: Can this formula be used for 3D objects?
A: For rectangular prisms, you would need to include height in a modified formula: \( \sqrt{Length^2 + Width^2 + Height^2} \).