Question

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

Answer 1

Answer:

$x = \frac{7 \sqrt{2} }{2}$

Step-by-step explanation:

$\cos \: 45 \degree = \frac{x}{7} \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{7} \\ \\ x = \frac{7}{ \sqrt{2} } \\ \\ x = \frac{7 \sqrt{2} }{2}$