Question

Identify the values of the variables. Give your answers in simplest radical form. HELP PLEASE!!!

Answer 1

Answer:x=root6, y=2root18

Explanation:

Answer 2

`x = 3√(2)`

`y = 6√(2)`

Explanation:

The triangle is a 30-60-90 right triangle.

The ratio of the lengths of the sides is:

`1 : √(3) : 2`

The order of the sides in the ratio above is

short leg : long leg : hypotenuse

The long leg is sqrt(3) times the length of the short leg.

`x * √(3) = 3√(6)`

`x = (3√(6))/(√(3))`

`x = 3 * \sqrt{(6)/(3)}`

`x = 3√(2)`

The hypotenuse is twice the length of the short leg.

`y = 2 * 3√(2)`

`y = 6√(2)`