Answer:
[tex]33+11\sqrt{3}[/tex].
Step-by-step explanation:
sin(30º) = 0,5
[tex]\frac{1}{2} = \frac{b}{c} \\ b = \frac{c}{2} \\ b = 11.[/tex]
[tex]c^2=a^2+b^2 \\ a^2 = c^2-b^2\\ a^2=22^2-11^2 \\ a^2 = 484 - 121 = 363 \\ a = \sqrt{363} \\ \sqrt{363} = \sqrt{3*121} = 11\sqrt{3}.[/tex]
[tex]P = a+b+c \\ P = 11+22+11\sqrt{3} \\ P = 33+ 11\sqrt{3}.[/tex]
