ashhcxno03 ashhcxno03
  • 26-01-2021
  • Mathematics
contestada

45°
V7
45°
Х
find the length of side x in simplest radical form with a rational denominator

45 V7 45 Х find the length of side x in simplest radical form with a rational denominator class=

Respuesta :

belgrad belgrad
  • 31-01-2021

Answer:

   [tex]x = \sqrt{\frac{7}{2} }[/tex]

Step-by-step explanation:

Explanation

From given graph

          AC = √7

 Given angle ∝ = 45°

    [tex]cos\alpha = \frac{adjacentside}{Opposite side}[/tex]

   [tex]cos45 = \frac{x}{\sqrt{7} }[/tex]

      [tex]\frac{1}{\sqrt{2} } = \frac{x}{\sqrt{7} }[/tex]

       [tex]x = \frac{\sqrt{7} }{\sqrt{2} }[/tex]

      [tex]x = \sqrt{\frac{7}{2} }[/tex]

     x = 1.8708

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