Respuesta :

9514 1404 393

Answer:

  22.6

Step-by-step explanation:

The diagonal of the square is they hypotenuse of an isosceles right triangle with sides of 16 inches. The Pythagorean theorem tells you its length (d) is ...

  d^2 = 16^2 +16^2 = (16^2)(2)

Taking the square root, we have ...

  d = 16√2 ≈ 22.6 . . . . inches