What Is the Diagonal Formula for Rectangles and Squares?

Learn the diagonal formula derived from the Pythagorean theorem to calculate the diagonal length of rectangles and squares easily.

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The diagonal formula for a rectangle or a square is derived from the Pythagorean theorem. It's d = √(a² + b²), where 'd' is the diagonal, and 'a' and 'b' are the lengths of the sides. This simple formula helps you calculate the diagonal length quickly.

FAQs & Answers

  1. How do you find the diagonal of a rectangle? You find the diagonal of a rectangle by using the formula d = √(a² + b²), where 'a' and 'b' are the rectangle's side lengths.
  2. Is the diagonal formula the same for squares and rectangles? Yes, the diagonal formula d = √(a² + b²) applies to both squares and rectangles, since a square is a rectangle with equal sides.
  3. What is the Pythagorean theorem? The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (longest side) equals the sum of the squares of the other two sides.

Watch More

For more insights into geometry and practical math formulas, check out our videos on the Pythagorean theorem applications and how to calculate areas and perimeters of common shapes.

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