Answer:
6
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex], then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3\sqrt{2} }{hyp}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
hyp = 3[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 3 × 2 = 6
