Question

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

60°
V3
30°
X

Answer 1

Answer:

x = (4√3)/3 units

Explanation:

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 = 4x = 4/√3 Rationalizing the denominator, x = (4/√3) × (√3/√3) x = (4√3)/3 units

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Explanation: