Question

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

Answer 1

Answer:

$x = 3\sqrt{2}$

$y = 6\sqrt{2}$

Step-by-step explanation:

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

The ratio of the lengths of the sides is:

$1 : \sqrt{3} : 2$

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.

$x \times \sqrt{3} = 3\sqrt{6}$

$x = \dfrac{3\sqrt{6}}{\sqrt{3}}$

$x = 3 \times \sqrt{\dfrac{6}{3}}$

$x = 3\sqrt{2}$

The hypotenuse is twice the length of the short leg.

$y = 2 \times 3\sqrt{2}$

$y = 6\sqrt{2}$

Answer 2

Answer:x=root6, y=2root18

Step-by-step explanation: