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 :

$\boxed{ \cos(45) = \frac{6}{x} }$

• $\frac{1}{ \sqrt{2} } = \frac{6}{x}$

• $x = 6 \sqrt{2}$

• $x = 8.485 \: \: units$

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