Respuesta :

9514 1404 393

Answer:

  [tex]a=\sqrt{33}[/tex]

Step-by-step explanation:

The Pythagorean theorem tells you that the area of the square with side 'a' is the difference of the areas of the other two squares.

  a² = 7² -4²

  a² = 49 -16 = 33

  a = √33