Question

❗️❗️❗️Find the length of side x in simplest radical form with a rational denominator.❗️❗️❗️

Plzzz helppppp

Answer 1

Answer: 3

Explanation:

Oh the joys of a 30, 60, 90 triangle, what makes this great is the fact that there is a common ratio. The lengths go as follows:

1 ,
`√(3)`, 2

So in this case the 1 is the
`√(3)`, and the hypotenuse is 2
`√(3)`, thats because in a 30, 60, 90 triangle the hypotenuse must always be twice the length of the smallest side in the triangle.

Okay so now we are left with the weird middle side of the triangle. And basically you multiply
`√(3)` to
`√(3)` = 3.

1 ,
`√(3)`, 2

multiply by
`√(3)`

`√(3)`, 3, 2
`√(3)`

Answer 2

3

Explanation:

In a 30-60-90 triangle, the ratio of the shorter side to the longer side length is
`1:√(3)`. Therefore:

`x=√(3) \cdot √(3)= \\\\√(3)^2= \\\\3`

Hope this helps!