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

Find the length of side x in simplest radical form with a rational denominator-example-1
User DFTR
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1 Answer

7 votes

Answer:

The length of x=3/1

Explanation:

Given the right triangle

Ф = 30

We know that

sin Ф = opposite/hypotenuse

The opposite of angle 30° = x

The hypotenuse is = 6

so

sin 30 = opposite/hypotenuse

1/2 = x/6 ∵ sin 30 = 1/2

1/2 × 6 = x

6/2 = x

3/1 = x

Therefore, the length of x=3/1

User Jamelia
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