Find the length of side x in simplest radical form with rational denominator?
1 answer:
Answer:
The value of x = √6/2
Step-by-step 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
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