Respuesta :

Answer:

9.4 inches

Step-by-step explanation:

The distance between the opposite corners is the diagonal.

We can find this using the Pythagorean theorem.  The diagonal is the hypotenuse.

a^2 +b^2 = c^2

8^2 +5*2 = c^2

64+25 = c^2

89=c^2

Take the square root of each side

sqrt(89) = sqrt(c^2)

sqrt(89) = c

9.433981132=c

Rounding to the nearest tenth

9.4 inches = c