Question

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

Answer 1

Answer:

x = 2

Step-by-step explanation:

We can use the sine or cosine ratio to solve for x

Using the cosine ratio in the right triangle and the exact value

cos45° = $\frac{\sqrt{2} }{2}$, then

cos45° = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{\sqrt{8} }$ = $\frac{\sqrt{2} }{2}$ ( cross- multiply )

2x = $\sqrt{8}$ × $\sqrt{2}$ = $\sqrt{16}$ = 4 ( divide both sides by 2 )

x = 2