Question

Find the value of each variable. Round to the nearest tenth if needed. :))

Answer 1

x = 11
`√(3)`

y = 33

Explanation:

this triangle is a 30-60-90 and has side lengths, respectively, in the ratio of 1 :
`√(3)` : 2

to find 'y' we can use this proportion:

2÷22
`√(3)` =
`√(3)`÷y

cross-multiply to get:

2y = 22(3)

2y = 66

y = 33

to find 'x' we can use this proportion:

1÷x = 2÷22
`√(3)`

cross-multiply to get:

2x = 22
`√(3)`

x = 11
`√(3)`