Question

Please help. Thank you​

Answer 1

The length of side x is
`x = √(6)`

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 = √(12)`

`x^2 + x^2 = (√(12))^2`

`2x^2 = 12`

`x^2 = (12)/(2)`

`x^2 = 6`

`x = √(6)`

The length of side x is
`x = √(6)`