katie28610 katie28610
  • 08-04-2021
  • Mathematics
contestada

Find the length of side x in simplest radical form with a rational denominator.
60°
V3
30°
X

Respuesta :

isaiahpoole122
isaiahpoole122 isaiahpoole122
  • 08-04-2021

Answer:

Answer:

x = (4√3)/3 units

Step-by-step 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

Hope it helped and believing you understood it........All the

Step-by-step explanation:

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