Test Axioms, What are the diagonals of a rectangle?
To determine the diagonals of a rectangle, we need to understand the properties of a rectangle and its geometric shape.
A rectangle is a quadrilateral with four right angles (90 degrees) and opposite sides that are equal in length. It also has the property that its diagonals are congruent, meaning they have the same length.
To find the length of the diagonals, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length 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 diagonals form right triangles with the sides of the rectangle. Let's assume that the length and width of the rectangle are given as 'l' and 'w' respectively.
In this case, the length of the diagonals can be calculated using the following formula:
Diagonal length = √(l^2 + w^2)
Using this formula, you can find the length of both diagonals of a rectangle.