Question

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

Answer 1

Answer:

Here we have a right 60,30 Triangle with Side 2 units and Htpotenuse x units.

Now,

Sin 60° = Opp./Hyp

Sin 60° = 2/x

But we know that,

Sin 60° = √3/2

So,

√3/2 = 2/x

Cross multiplying we get,

x√3 = 4

x = 4/√3

Rationalizing the denominator,

x = (4/√3) × (√3/√3)

x = (4√3)/3 units

Step-by-step explanation:

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