Respuesta :

Answer:

[tex]c=\sqrt{a^2+b^2}[/tex]

Step-by-step explanation:

The distance between the origin and the vertices of the rectangle is called the diagonal of the rectangle.

The length of the diagonal can be find by the Pythagoras theorem

The Pythagoras theorem is

[tex]c^2=a^2+b^2[/tex]

Where c is the diagonal

a and b are the two sides of the rectangle.

Hence

[tex]c=\sqrt{a^2+b^2}[/tex]