Answer:
The length of side x is [tex]x = \sqrt{6}[/tex]
Step-by-step explanation:
Pythagorean Theorem:
In a right triangle, with sides a and b, and hypothenuse h, we have that:
[tex]a^2 + b^2 = h^2[/tex]
In this question:
The vertical line on the sides means that both are equal, that is, measuring x, so [tex]a = b = x[/tex].
Hypothenuse is the square root of 12. So [tex]h = \sqrt{12}[/tex]
[tex]x^2 + x^2 = (\sqrt{12})^2[/tex]
[tex]2x^2 = 12[/tex]
[tex]x^2 = \frac{12}{2}[/tex]
[tex]x^2 = 6[/tex]
[tex]x = \sqrt{6}[/tex]
The length of side x is [tex]x = \sqrt{6}[/tex]