Answer:
In a 45° 45° 90° triangle, the two legs are congruent and the hypotenuse is √2 times the length of each leg.
Let x be the length of each leg.
Then, using the Pythagorean theorem, we have:
x^2 + x^2 = 24^2
2x^2 = 576
x^2 = 288
x = √288 = 12√2
Therefore, the length of each leg is 12√2.