How do the diagonals of a rectangle relate to each other?

The diagonals of a rectangle are always equal, that is, they have the same length, since the opposite sides of the rectangle are equal.
The diagonals of the rectangle intersect with each other and are halved at the intersection.
Both diagonals of the rectangle divide it into two identical right-angled triangles. In the rectangle abcd, the diagonal bd divides the triangles abd and bcd into 2 triangles, the diagonal ac divides into adc and abc. It follows that the diagonals are equal to the hypotenuse of the obtained right-angled triangles and, accordingly, are calculated as the hypotenuse by the Pythagorean theorem. In turn, the sides of the rectangle are the legs of the triangles.
Thus, the diagonals of the rectangle are equal, intersect with each other, and are halved at the point of intersection.