Question

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

Answer 1

x = 2
`√(3)` /3 units

Explanation:

you have a 30-60-90 right triangle

and have the ratio of the sides

so

tan 60 deg. =
`√(3)`

and

tan 60 = 2/x here

2/x =
`√(3)`

x = 2
`√(3)` /3 units