Using the Pythagorean Theorem, it is found that the side length is of x = 6.93.
What is the Pythagorean Theorem?
The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem, we have that:
[tex]h = 13, l_1 = 11, l_2 = x[/tex]
Hence, applying the Theorem:
[tex]h^2 = l_1^2 + l_2^2[/tex]
[tex]13^2 = 11^2 + x^2[/tex]
[tex]x^2 = 169 - 121[/tex]
[tex]x = \sqrt{48}[/tex]
x = 6.93.
More can be learned about the Pythagorean Theorem at https://brainly.com/question/26396675
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