Respuesta :

Answer:

[tex]x =12.08\ in[/tex]

Step-by-step explanation:

The Pythagorean theorem says that the sum of the side adjacent to the square and side opposite to the square, in a right triangle, is equal to the hypotenuse squared.

This is:

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

[tex]x ^ 2 = 11 ^ 2 + 5 ^ 2[/tex]

Now we solve the equation for the variable x

[tex]x=\sqrt{11^2 +5^2}\\\\x =12.08\ in[/tex]

Finally the hypotenuse is 12.08 in

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