Question

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

Answer 1

The value of x = √6/2

Explanation:

Given

The hypotenuse of triangle = √2

Ф = 30°

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

here

Ф = 30°

Adjacent to 30° = x

hypotenuse = √2

so substituting

cos Ф = adjacent / hypotenuse

cos 30° = x / √2

x = √2 × cos 30°

x = √2 × √3 / 2

x = √6/2

Therefore, the value of x = √6/2