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

The figure shows right triangle A B C. Angle A B C is a right angle. Angle A C B measures 30 degrees. Side A B has a length of x units. Side B C has a length of y units. Hypotenuse A C has a length of square root of 2 units.

Answers
x=6–√;y=2–√

x=6–√2;y=2–√2

x=2–√;y=6–√

x=2–√2;y=6–√2

B

Step-by-step explanation:

First, put 3(sqrt(6)) in a different form:

sqrt(9) * sqrt(6) = sqrt(54)

We know that a 30 60 90 triangle has a horizontal leg equal to 1, a vertical leg equal to sqrt(3), and a hypotenuse equal to 2.

Find a multiplier/ratio with this information:

(sqrt(54))/(sqrt(3)) = sqrt(18)

given value/accepted value = multiplier

Now, multiply the other values by the multiplier:

1*sqrt(18) = sqrt(18) or 3(sqrt(2))

2*sqrt(18) = 2(sqrt(18)) or 6(sqrt(2))

Your answer would be:

x = 3(sqrt(2))

y = 6(sqrt(2))

Or option B.

step-by-step explanation:

a'(12.5,11.25)

slope=(y1-y2)/(x1-x2)