Show that the diagonals of a rectangle are equal in length?

Question: Show that the diagonals of a rectangle are equal in length?

Sure! Let’s consider a rectangle ABCD with length l and width w. The diagonals of the rectangle are AC and BD. We can use the Pythagorean theorem to find the length of the diagonals. The diagonal AC is the hypotenuse of right triangle ABC, so AC = √(AB^2 + BC^2) = √(l^2 + w^2). Similarly, the diagonal BD is the hypotenuse of right triangle ABD, so BD = √(AB^2 + AD^2) = √(l^2 + w^2). Since both diagonals have the same length of √(l^2 + w^2), we can conclude that the diagonals of a rectangle are equal in length.

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