Rectangle with a Diagonal
A rectangle is a quadrilateral with four right angles and opposite sides that are equal in length. In a rectangle, the two diagonals are of equal length and bisect each other at the center of the rectangle. The diagonal of a rectangle creates two right triangles, each with the diagonal as the hypotenuse.

Properties of a Rectangle
- Opposite sides are equal in length
- Diagonals are of equal length
- Diagonals bisect each other at the center of the rectangle
- Diagonals create right triangles

Using Pythagorean Theorem
To find the length of the diagonal of a rectangle, you can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. In the case of a rectangle, the two sides adjacent to the diagonal can be considered as the legs of the right triangle, and the diagonal as the hypotenuse.
By applying the Pythagorean Theorem, you can calculate the length of the diagonal of a rectangle using the formula:
diagonal = √(length^2 + width^2)

Example:
If the length of a rectangle is 6 units and the width is 8 units, the diagonal can be calculated as:
diagonal = √(6^2 + 8^2) = √(36 + 64) = √100 = 10 units
Therefore, the diagonal of the rectangle with a length of 6 units and width of 8 units is 10 units.