Respuesta :

Answer:

x = 15.49

Step-by-step explanation:

As you can see this is a right-angled triangle due to the right angle symbol, we can use Pythagorean theory to find the unknown length:

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

In this case, we know C and B but not A so:

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

Now plug the values in:

[tex]a^2 = 16^2 - 4^2[/tex]

[tex]a^2 = 256 - 16[/tex]

[tex]a^2 = 240[/tex]

Square root the answer to get A:

[tex]a = \sqrt{240}[/tex]

a = 15.49

x = 15.49

Hope this helps!

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