# Diagonals of a Rectangle

How to solve the diagonals of a rectangle problems: property, example, and its solution.

## Property

The segments

formed by bisecting diagonals of a rectangle

are all congruent.

Recall that the segments

formed by diagonals of a parallelogram

are not all congruent:

segments from different diagonals are not congruent.

## Example

The blue segments are all congruent: 5.

See the right triangle

whose base is the brown side.

Its hypotenuse is 10. (= 5 + 5)

And its legs are 6 and *x*.

So this is similar to a (3, 4, 5) triangle.

Draw a (3, 4, 5) triangle next to the right triangle.

The left triangle is × 2 bigger.

So *x* = 2⋅4.