Respuesta :

nighthawk88

Answer:

7

Step-by-step explanation:

a squared + b squared = c squared

plug it in to get

4 root 2 squared +b squared = 9 squared

(4 root 2)(4 root 2)=32

and 9 squared is 81

so the equation is

32+b squared = 81

subtract 32

b squared = 49

square root both sides

b=7

abidemiokin

The length of the  missing side is [tex]3\sqrt{5}[/tex]

Pythagoras theorem

The square of the hypotenuse is equal to the sum of the square of the other two sides

From the given diagram;

  • [tex]9^2 = (4\sqrt{2} )^2 + x^2[/tex]

Get the unknown side "x"

[tex]81 = 32 + x^2\\x^2 = 81 - 36\\x^2 = 45\\x = 3\sqrt{5}[/tex]

Hence the length of the  missing side is [tex]3\sqrt{5}[/tex]

Learn more on pythagoras theorem here: https://brainly.com/question/343682