Answer: [tex]2\sqrt{6}[/tex]
Step-by-step explanation:
A 30°-60°-90° triangle has the following sides: b - [tex]b\sqrt{3}[/tex] - 2b
short leg (matches to 30°) so b = [tex]2\sqrt{2}[/tex]
long leg (matches to 60°) so [tex]b\sqrt{3}[/tex] = [tex](2\sqrt{2})\sqrt{3}[/tex] = [tex]2\sqrt{6}[/tex]
hypotenuse (matches to 90°) so 2b = [tex]2(2\sqrt{2})[/tex] = [tex]4\sqrt{2}[/tex]
