Respuesta :

Answer:

x = 9.43

Step-by-step explanation:

As you can see by the right angle symbol, this is a right-angled triangle meaning to find x we can simply use Pythagoras theorem:

[tex]a^2 + b^2 = c^2[/tex]

Simply plug the given sides into this equation:

[tex]8^2 + 5^2 = x^2[/tex]

64 + 25 = 89

[tex]89 = x^2[/tex]

Now square root both sides to find x:

[tex]\sqrt{x^2} = \sqrt{89}[/tex]

x = 9.43

Hope this helps!