Which of the following choices lists the values of the side lengths of a triangle with 45-45-90 degree angles and a hypotenuse = 24?
You didn't give the "choices" in your question! However, because it is 45-45-90 right-angle triangle, and the hypotenuse = 24, then the other 2 sides are equal. We can use:
Sin(45) = Opposite side / hypotenuse
Sqrt(2)/2 =opposite side / 24
Opposite side = 24 x sqrt(2)/2
Opposite side =~16.97 and the 3rd side also =~16.97.
So, the 3 sides are =24, 16.97, 16.97.