Given:
A triangle with angles 45-45-90.
Required:
Find the missing side length.
Explanation:
We will use here trigonometric ratios as:
[tex]\begin{gathered} Cos\text{ 45}^{\circ}=\frac{3}{x} \\ x=\frac{3}{\frac{1}{\sqrt{2}}} \\ x=3\sqrt{2} \end{gathered}[/tex]Now,
[tex]\begin{gathered} sin45^{\circ}=\frac{y}{3\sqrt{2}} \\ \frac{1}{\sqrt{2}}=\frac{y}{3\sqrt{2}} \\ y=3 \\ \end{gathered}[/tex]Answer:
Hence, x and y are required lengths.
