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## Sagot :

You can do this because when you cut the rectangle in half with the diagonal, it forms a right triangle, making the diagonal the hypotenuse (c).

[tex]40^2 + 48^2 = c^2[/tex]

[tex]1600 + 2304 = c^2[/tex]

[tex]3904 = c^2[/tex]

[tex] \sqrt{3904} = \sqrt{c^2} [/tex]

[tex]62.48 = c[/tex]

Diagonal: 62.48 inches