omarfars66 omarfars66
  • 15-11-2020
  • Mathematics
contestada

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 class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 20-11-2020

Answer:

[tex] x = \frac{\sqrt{6}}{2} [/tex]

Step-by-step explanation:

Reference angle = 45°

Opposite side = x

Hypotenuse = √3

Use the following trigonometric ratios formula to find x:

[tex] sin(\theta) = \frac{opp}{hyp} [/tex]

Plug in the values

[tex] sin(45) = \frac{x}{\sqrt{3}} [/tex]

Multiply both sides by √3

[tex] \sqrt{3}*sin(45) = x [/tex]

[tex] \sqrt{3}*\frac{\sqrt{2}}{2} = x [/tex]

[tex] \frac{\sqrt{3*2}}{2} = x [/tex]

[tex] \frac{\sqrt{6}}{2} = x [/tex]

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