1. What is the Diagonal Length of a Rectangle?

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

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

• \( d \) — Diagonal length
• \( l \) — Length of the rectangle
• \( w \) — Width of the rectangle

Explanation: The diagonal forms the hypotenuse of a right triangle with the length and width as the other two sides.

3. Importance of Diagonal Calculation

Details: Calculating the diagonal is important in construction, design, and various engineering applications where precise measurements between opposite corners are needed.

4. Using the Calculator

Tips: Enter the length and width in the same units (e.g., inches, centimeters, meters). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Does this work for squares?
A: Yes, for squares where length = width, the formula simplifies to \( d = l\sqrt{2} \).

Q2: What units should I use?
A: Any consistent units can be used (inches, cm, meters, etc.), but both dimensions must be in the same units.

Q3: Can this be used for 3D objects?
A: No, this is for 2D rectangles. For 3D rectangular prisms, you would need to include height in the calculation.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise, assuming perfect rectangle dimensions.

Q5: What's the practical application?
A: Useful for construction (determining diagonal braces), screen sizes (measuring diagonally), and any design requiring corner-to-corner measurements.