Answer:
hypotenuse = 6
Explanation:
For a right triangle, we know that sin (theta) = opposite / hypotenuse
sin 45 = 3 sqrt(2)/ hypotenuse
Multiply both side by hypotenuse
hypotenuse * sin 45 = 3 sqrt(2)
Divide by sin 45 on both sides
hypotenuse * sin 45/ sin 45 = 3 sqrt(2)/sin 45
hypotenuse = 3 sqrt(2)/sin 45
hypotenuse = 6