Question

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

Answer 1

`\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}`

The given triangle is a right angled triangle,

therefore, by using trigonometry :

`\boxed{ \cos(45) = (6)/(x) }`

• 
  `(1)/( √(2) ) = (6)/(x)`

• 
  `x = 6 √(2)`

• 
  `x = 8.485 \: \: units`

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