Question

What are the values of x and y?

Question 12 options:

A)

x = 9 ; y = 9

B)

x = 9; y = 9

C)

x = 18 ; y = 9

D)

x = 9 ; y = 9

Answer 1

Answer: B: y = 9 x = 9
`√(3)`

Explanation:

A 60/30/90 right triangle has sides that are defined as per the attached image.

The short leg in the problem is marked as "y." Don't confuse that with the attached diagram, which chose this side to be "x.

Switch the y and x in the attached triangle and then we can find the sides.

The hypotenuse is 2 times the short side, y. Therefore:

y = 18/2 or 9.

The longer side, x, is y
`√(3)`

That makes it 9
`√(3)`

y = 9

x = 9
`√(3)`