Question

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

Answer 1

Answer:

x = 5$\sqrt{2}$

Step-by-step explanation:

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

cos45° = $\frac{1}{\sqrt{2} }$ , then

cos45° = $\frac{adjacent}{hypotenuse}$ = $\frac{5}{x}$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

x = 5$\sqrt{2}$