MATH CALCULATOR
Diagonal of Rectangle Calculator
Calculate the diagonal length of a rectangle easily with our online calculator.
What is the Diagonal of Rectangle Calculator & How does it work?
The diagonal of a rectangle can be calculated using the Pythagorean theorem. This theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In a rectangle, the diagonal forms a right triangle with the two sides of the rectangle. Therefore, you can use this formula to find the diagonal length.
c = sqrt{a^2 + b^2}
c = diagonal length
a = length of the rectangle
b = width of the rectangle
a = length of the rectangle
b = width of the rectangle
Parameters
Diagonal Length—
Frequently Asked Questions
How do I calculate the diagonal of a rectangle?
Use the formula c = √(a² + b²), where 'c' is the diagonal, and 'a' and 'b' are the length and width of the rectangle.
What is the Pythagorean theorem for rectangles?
The Pythagorean theorem states that in a right-angled triangle formed by the diagonal of a rectangle and its sides, the square of the diagonal (hypotenuse) equals the sum of the squares of the other two sides.
Can I use this calculator for any shape?
No, this calculator is specifically for rectangles. For other shapes, you would need a different formula.
What if I know the diagonal and one side of the rectangle?
You can rearrange the formula to solve for the unknown side: a = √(c² - b²) or b = √(c² - a²), where 'c' is the diagonal, and 'a' or 'b' is the known side.
Is this calculator accurate?
Yes, the calculator uses the Pythagorean theorem to provide an accurate result based on the input values.
Can I use this for squares too?
Yes, since a square is a special type of rectangle with all sides equal, you can use the same formula by setting 'a' and 'b' to be the length of one side.
Results are for informational purposes only and do not constitute professional advice.