1. What is the Rectangle Diagonal Formula?

The rectangle diagonal formula is derived from the Pythagorean theorem and calculates the length of the diagonal line connecting two opposite corners of a rectangle.

2. How Does the Calculator Work?

The calculator uses the diagonal formula:

Where:

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

Explanation: The formula calculates the hypotenuse of the right triangle formed by the length and width of the rectangle.

3. Practical Applications

Details: Calculating diagonals is essential in construction, carpentry, screen size measurements, and any field requiring precise rectangular dimensions.

4. Using the Calculator

Tips: Enter the length and width in the same units (inches, centimeters, feet, etc.). 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 length units can be used (cm, inches, feet, meters), but both dimensions must be in the same units.

Q3: How accurate is this calculation?
A: The calculation is mathematically exact for perfect rectangles. Real-world accuracy depends on measurement precision.

Q4: Can this be used for 3D boxes?
A: No, this is for 2D rectangles. For 3D boxes, you would need to calculate the space diagonal using \( \sqrt{l^2 + w^2 + h^2} \).

Q5: What's the relationship between diagonal and aspect ratio?
A: The diagonal helps determine aspect ratio (width:height), which is important in display technologies and photography.