Explanation
Given the triangle
Since two of the angles are 45 and 45, this makes the third angle as 90 degrees, implying the triangle is a right-angle triangle.
We can then find the value of the missing sides below.
Using the angle 45 degrees on the left of the triangle, we will have that;
[tex]\begin{gathered} tan45=\frac{opposite}{adjacent}=\frac{11}{x} \\ xtan45=11 \\ x=\frac{11}{tan45} \\ x=11 \end{gathered}[/tex]Answer: x =11
Also
[tex]\begin{gathered} sin45=\frac{opposite}{Hypotenuse}=\frac{11}{y} \\ ysin45=11 \\ y=\frac{11}{sin45} \\ y=11\div\frac{1}{\sqrt{2}} \\ y=11\sqrt{2} \end{gathered}[/tex]Answer:
[tex]y=11\sqrt{2}[/tex]