Question

Solve for x and y. Select BOTH correct answers.

A. x = 9√3

B. y = 9√3

C. y = 9

D. x = 9

Answer 1

x = 9

y = 9
`√(3)`

Explanation:

This is a special right triangle with angle measures 30-60-90

and side lengths as follows:

The side that sees angle measure 30 is represented with a

The side that sees angle measure 60 is represented with a
`√(3)`

The side that sees angle measure 90 is represented with 2a

The side that sees angle measure 90 is given as 18 so

2a = 18

a = 9 so x = 9

and since a = 9 y would be 9
`√(3)`