n the diagram below, if the measure of < C = 45 °, and side AB = 11, then side AC = _____.

In the given right triangle ABC
Remember that
mso
If mthen
mthat means
Triangle ABC is an isosceles right triangle
AB=BC=11
Applying Pythagorean theorem
[tex]\begin{gathered} AC^2=AB^2+BC^2 \\ AC^2=11^2+11^2 \\ AC^2=(2)11^2 \\ AC=11\sqrt{2} \end{gathered}[/tex]