Question

Find the length of side x in simplest radical form with a rational denominator.

Answer 1

x =
`√(3)`/6

Explanation:

30-60-90 triangles have legs in the ratio of 1 :
`√(3)` : 2

create a proportion: (6 ÷
`√(3)`) = (1÷x)

cross-multiply: 6x =
`√(3)`

divide by 6