I have a 90-45-45 degree triangle and the hypotenuse is equal to 3sqrt6. Solve for the two remaining sides.?

On a 45-45 90 triangle the hypotenuse is √2 times as long as the legs (which are equal since it's isoceles). So you need to see what times √2 = 3 √ 6, which would be 3 √3