Question

please help. Thank you​

Answer 1

Answer:

The length of side x is $x = \sqrt{6}$

Step-by-step explanation:

Pythagorean Theorem:

In a right triangle, with sides a and b, and hypothenuse h, we have that:

$a^2 + b^2 = h^2$

In this question:

The vertical line on the sides means that both are equal, that is, measuring x, so $a = b = x$.

Hypothenuse is the square root of 12. So $h = \sqrt{12}$

$x^2 + x^2 = (\sqrt{12})^2$

$2x^2 = 12$

$x^2 = \frac{12}{2}$

$x^2 = 6$

$x = \sqrt{6}$

The length of side x is $x = \sqrt{6}$